1. Kanat Abdukhalikov and Rudolf Scharlau, Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers, Math. Comp. 78 (2009), no. 265, 387–403.[MR]
  2. Jaume Aguadé, Four lines in space, J. Geom. 92 (2009), no. 1-2, 1–16.[MR/doi]
  3. Jaume Aguadé, The arboreal approach to pairs of involutions in rank two, Comm. Algebra 37 (2009), no. 3, 1104–1116.[MR/doi]
  4. Shabnam Akhtari, The diophantine equation aX4 – bY2 = 1, Journal fur die Reine und Angewandte Mathematik, to appear (2009), 20 pages.[arXiv]
  5. Shabnam Akhtari, The method of Thue-Siegel for binary quartic forms, preprint (2009), 35 pages.[arXiv]
  6. Maximilian Albert and Annette Maier, Additive polynomials for finite groups of Lie type, preprint (2009), 59 pages.[arXiv]
  7. Martin Albrecht and Carlos Cid, Algebraic techniques in differential cryptanalysis, Fast Software Encryption, Lecture Notes in Computer Science, vol. 5665, Springer, 2009, pp. 193–208.[doi/eprint]
  8. T. L. Alderson and Keith E. Mellinger, 2-dimensional optical orthogonal codes from Singer groups, Discrete Appl. Math. 157 (2009), no. 14, 3008–3019.[MR/doi]
  9. Habib Amiri, S. M. Jafarian Amiri, and I. M. Isaacs, Sums of element orders in finite groups, Comm. Algebra 37 (2009), no. 9, 2978–2980.[MR/doi]
  10. Daniel Appel and Evija Ribnere, On the index of congruence subgroups of Aut(Fn), J. Algebra 321 (2009), no. 10, 2875–2889.[MR/arXiv]
  11. João Araújo and Csaba Schneider, The rank of the endomorphism monoid of a uniform partition, Semigroup Forum 78 (2009), no. 3, 498–510.[MR/arXiv]
  12. Sarah Astill and Chris Parker, A 3-local characterization of M12 and SL3(3), Arch. Math. (Basel) 92 (2009), no. 2, 99–110.[MR/arXiv]
  13. Nuh Aydin, Enhancing undergraduate mathematics curriculum via coding theory and cryptography, PRIMUS 19 (2009), no. 3, 296–309.
  14. Daniel V. Bailey, Brian Baldwin, Lejla Batina, Daniel J. Bernstein, Peter Birkner, Joppe W. Bos, Gauthier van Damme, Giacomo de Meulenaer, Junfeng Fan, Tim Gneysu, Frank Gurkaynak, Thorsten Kleinjung, Tanja Lange, Nele Mentens, Christof Paar, Francesco Regazzoni, Peter Schwabe, and Leif Uhsadel, The Certicom Challenges ECC2-X, Workshop Record of SHARCS'09 - Special-purpose Hardware for Attacking Cryptographic Systems (2009).
  15. E. Ballico, E. Gasparim, and T. Kölppe, Vector bundles near negative curves: moduli and local Euler characteristic, Comm. Algebra 37 (2009), no. 8, 2688–2713.
  16. John Bamberg and Tim Penttila, A classification of transitive ovoids, spreads, and m-systems of polar spaces, Forum Math. 21 (2009), no. 2, 181–216.[MR]
  17. Eiichi Bannai, Osamu Shimabukuro, and Hajime Tanaka, Finite Euclidean graphs and Ramanujan graphs, Discrete Math. 309 (2009), no. 20, 6126–6134.[MR/doi]
  18. Gregory V. Bard, The application of polynomials over the field of two elements to a problem in intellectual property, IACR (2009), 6 pages.[eprint]
  19. Wayne Barrett, Jason Grout, and Raphael Loewy, The minimum rank problem over the finite field of order 2: minimum rank 3, Linear Algebra and its Applications 430 (2009), no. 4, 890–923.[doi]
  20. C. Bates, D. Bundy, S. Hart, and P. Rowley, A note on commuting graphs for symmetric groups, Electron. J. Combin. 16 (2009), no. 1, 13.[MR]
  21. Chris Bates and Peter Rowley, Normalizers of p-subgroups in finite groups, Arch. Math. (Basel) 92 (2009), no. 1, 7–13.[MR]
  22. Barbara Baumeister and Alexander Stein, Commuting graphs of odd prime order elements in simple groups, preprint (2009), 28 pages.[arXiv]
  23. Tobias Beck, Formal desingularization of surfaces: the Jung method revisited, J. Symb. Comput. 44 (2009), no. 2, 131–160.[doi/arXiv]
  24. Antonio Behn, Alberto Elduque, and Alicia Labra, A class of locally nilpotent commutative algebras, preprint (2009), 12 pages.[arXiv]
  25. Karim. Belabas, Mark van Hoeij, J. Klüners, and Allan Steel, Factoring polynomials over global fields, Journal de Théorie des Nombres de Bordeaux (2009), no. 21, 15–39.
  26. Dave Benson, An algebraic model for chains on Ω BG∧p, Trans. Amer. Math. Soc. 361 (2009), no. 4, 2225-2242.
  27. Tobias Berger and Krzysztof Klosin, A deformation problem for Galois representations over imaginary quadratic fields, J. Inst. Math. Jussieu 8 (2009), no. 4, 669–692.[MR/doi]
  28. Tobias Berger and Krzysztof Klosin, A deformation problem for Galois representations over imaginary quadratic fields, J. Inst. Math. Jussieu, to appear (2009), 19.
  29. Alexander Berkovich and William C. Jagy, Ternary quadratic forms, modular equations and certain positivity conjectures, The Legacy of Alladi Ramakrishnan in the Mathematical Sciences, Springer, New York, 2009, pp. 211–241.[doi]
  30. Daniel J. Bernstein, Batch binary edwards, Advances in Cryptology - CRYPTO 2009, Lecture Notes in Comput. Sci., vol. 5677, Springer, Berlin, 2009, pp. 317–336.[doi]
  31. Olivier Billet and Gilles Macario-Rat, Cryptanalysis of the square cryptosystems, Advances in Cryptology – ASIACRYPT 2009, Lecture Notes in Comput. Sci., vol. 5912, Springer, Berlin, 2009, pp. 451–468.[doi]
  32. Gilberto Bini, Quotients of hypersurfaces in weighted projective space, preprint (2009), 13 pages.[arXiv]
  33. Peter Birkner, Efficient arithmetic on low-genus curves, PhD Thesis, Technische Universiteit Eindhoven, 2009.
  34. Alex Biryukov, Praveen Gauravaram, Jian Guo, Dmitry Khovratovich, San Ling, Krystian Matusiewicz, Ivica Nikolić, Josef Pieprzyk, and Huaxiong Wang, Cryptanalysis of the LAKE hash family, Fast Software Encryption, Lecture Notes in Computer Science, vol. 5665, Springer, Berlin, 2009, pp. 156–179.[doi]
  35. Werner Bley and Stephen M. J. Wilson, Computations in relative algebraic K-groups, LMS J. Comput. Math. 12 (2009), 166–194.[MR/doi]
  36. Russell D. Blyth and Robert Fitzgerald Morse, Computing the nonabelian tensor squares of polycyclic groups, J. Algebra 321 (2009), no. 8, 2139–2148.[MR]
  37. Siegfried Boecherer and Gabriele Nebe, On theta series attached to maximal lattices and their adjoints, preprint (2009), 16 pages.[arXiv]
  38. Tomas J. Boothby and Robert W. Bradshaw, Bitslicing and the method of four Russians over larger finite fields, preprint (2009), 1–10.[arXiv]
  39. Wieb Bosma and Ben Kane, The Aliquot constant, preprint (2009), 16 pages.[arXiv]
  40. Delphine Boucher and Felix Ulmer, Coding with skew polynomial rings, J. Symbolic Comput. 44 (2009), no. 12, 1644–1656.[MR/doi]
  41. Irene I. Bouw and Brian Osserman, Some 4-point Hurwitz numbers in positive characteristic, preprint (2009), 23 pages.[arXiv]
  42. John N. Bray, Derek F. Holt, and Colva M. Roney-Dougal, Certain classical groups are not well-defined, J. Group Theory 12 (2009), no. 2, 171–180.[MR]
  43. A. Bremner and Jean-Joël Delorme., On equal sums of ninth powers, Math. Comp 79 (2009), 603–612.
  44. Andrew Bremner, A problem of Ozanam, Proc. Edinb. Math. Soc. (2) 52 (2009), no. 1, 37–44.[MR/doi]
  45. Richard P. Brent and Paul Zimmermann, Ten new primitive binary trinomials, Math. Comp. 78 (2009), no. 266, 1197–1199.[MR]
  46. Michael Brickenstein and Alexander Dreyer, PolyBoRi: a framework for Gröbner-basis computations with Boolean polynomials, J. Symbolic Comp. 44 (2009), no. 9, 1326–1345.
  47. Michael Brickenstein, Alexander Dreyer, Gert-Martin Greuel, Markus Wedler, and Oliver Wienand, New developments in the theory of Gröbner bases and applications to formal verification, J. Pure Appl. Algebra 213 (2009), no. 8, 1612–1635.[MR]
  48. Andries E. Brouwer, Naoyuki Horiguchi, Masaaki Kitazume, and Hiroyuki Nakasora, A construction of the sporadic Suzuki graph from U3(4), J. Combin. Theory Ser. A 116 (2009), no. 5, 1056–1062.[MR]
  49. David Brown, Primitive integral solutions to x2 + y3 = z10, preprint (2009), 11 pages.[arXiv]
  50. Gavin Brown, Alexander Kasprzyk, and Daniel Ryder, Computational birational geometry of minimal rational surfaces, preprint (2009), 20 pages.[arXiv]
  51. F. Buekenhout and D. Leemans, On apartments in incidence geometry, preprint (2009), 17.
  52. Stanislav Bulygin and Ruud Pellikaan, Bounded distance decoding of linear error-correcting codes with Gröbner bases, J. Symb. Comput. 44 (2009), no. 12, 1626–1643.
  53. Dietrich Burde, Bettina Eick, and Willem de Graaf, Computing faithful representations for nilpotent Lie algebras, J. Algebra 322 (2009), no. 3, 602–612.[MR/doi]
  54. Jessica F. Burkhart, Neil J. Calkin, Shuhong Gao, Justine C. Hyde-Volpe, Kevin James, Hiren Maharaj, Shelly Manber, Jared Ruiz, and Ethan Smith, Finite field elements of high order arising from modular curves, Des. Codes Cryptogr. 51 (2009), no. 3, 301–314.[MR/doi]
  55. Timothy C. Burness, Martin W. Liebeck, and Aner Shalev, Base sizes for simple groups and a conjecture of Cameron, Proc. Lond. Math. Soc. (3) 98 (2009), no. 1, 116–162.[MR/doi]
  56. Jason Callahan, Jorgensen number and arithmeticity, Conform. Geom. Dyn 13 (2009), 160–186.[arXiv]
  57. Jason Todd Callahan, The arithmetic and geometry of two-generator Kleinian groups, PhD Thesis, University of Texas at Austin, 2009.[link]
  58. Lisa Carbone, Leigh Cobbs, and Scott H. Murray, Fundamental domains for congruence subgroups of SL2 in positive characteristic, preprint (2009).[arXiv]
  59. Robert Carls, Explicit Frobenius lifts on elliptic curves, preprint (2009), 26 pages.[arXiv]
  60. Robert Carls and David Lubicz, A p-adic quasi-quadratic time point counting algorithm, Int. Math. Res. Not. IMRN (2009), no. 4, 698–735.[MR/arXiv]
  61. Jon F. Carlson, Nadia Mazza, and Daniel K. Nakano, Endotrivial modules for the symmetric and alternating groups, Proc. Edinb. Math. Soc. (2) 52 (2009), 45–66.[MR/doi]
  62. Wouter Castryck and John Voight, Nondegenerate curves of low genus over small finite fields, Arithmetic, Geometry, Cryptography and Coding Theory, Contemporary Mathematics, vol. 521, AMS, Providence, R.I., 2009, pp. 21–28.[arXiv]
  63. Hugo Chapdelaine, Computation of p-units in ray class fields of real quadratic number fields, Math. Comp. 78 (2009), 2307–2345.
  64. Denis Charles, Kamal Jain, and Kristin Lauter, Signatures for network coding, International Journal of Information and Coding Theory 1 (2009), no. 1, 3–14.[link]
  65. Imin Chen and Samir Siksek, Perfect powers expressible as sums of two cubes, J. Algebra 322 (2009), no. 3, 638–656.[MR/doi]
  66. Serena Cicalò and Willem A. de Graaf, Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition: II, J. Symbolic Comput. 44 (2009), no. 7, 786–800.
  67. Arjeh M. Cohen, Sergei Haller, and Scott H. Murray, Computing with root subgroups of twisted reductive groups, preprint Submitted (2009).
  68. Arjeh M. Cohen and Scott H. Murray, An algorithm for Lang's Theorem, J. Algebra 322 (2009), no. 3, 675–702.[MR/arXiv]
  69. Arjeh M. Cohen and Dan Roozemond, Computing Chevalley bases in small characteristics, J. Algebra 322 (2009), no. 3, 703–721.[MR/doi]
  70. Marston Conder, On symmetries of Cayley graphs and the graphs underlying regular maps, J. Algebra 321 (2009), no. 11, 3112–3127.[MR]
  71. Marston D. E. Conder, Regular maps and hypermaps of Euler characteristic -1 to -200, J. Combin. Theory Ser. B 99 (2009), no. 2, 455–459.[MR/doi]
  72. Marston Conder and Roman Nedela, A refined classification of symmetric cubic graphs, J. Algebra 322 (2009), no. 3, 722–740.[MR/doi]
  73. Marston Conder and Roman Nedela, A refined classification of symmetric cubic graphs, J. Algebra 322 (2009), no. 1, 722–740.
  74. Antonio Cossidente and Tim Penttila, On m-regular systems on H(5,q2), J. Algebraic Combin. 29 (2009), no. 4, 437–445.[MR]
  75. J. -M. Couveignes, Linearizing torsion classes in the Picard group of algebraic curves over finite fields, J. Algebra 321 (2009), no. 8, 2085–2118.[MR/arXiv]
  76. Jean-Marc Couveignes and Reynald Lercier, Elliptic periods for finite fields, Finite Fields Appl. 15 (2009), no. 1, 1–22.[MR/doi]
  77. David A. Craven, Simple modules for groups with abelian Sylow 2-subgroups are algebraic, J. Algebra 321 (2009), no. 5, 1473–1479.[MR/arXiv]
  78. J. E. Cremona, T. A. Fisher, C. O'Neil, D. Simon, and M. Stoll, Explicit n-descent on elliptic curves, II: Geometry, J. reine angew. Math 2009 (2009), no. 632, 63–84.[arXiv]
  79. John Cullinan, A computational approach to the 2-torsion structure of abelian threefolds, Math. Comp. 78 (2009), no. 267, 1825–1836.[MR]
  80. C. J. Cummins, On conjugacy classes of congruence subgroups of PSL(2,R), LMS J. Comput. Math. 12 (2009), 264–274.[MR/doi]
  81. M. Cuntz and I. Heckenberger, Finite Weyl groupoids of rank three, preprint (2009), 31 pages.[arXiv]
  82. R. T. Curtis and B. T. Fairbairn, Symmetric representation of the elements of the Conway group ·0, J. Symbolic Comput. 44 (2009), no. 8, 1044–1067.[MR]
  83. Susanne Danz, On vertices of completely spittable modules for symmetric groups and simple modules labelled by two part partitions, J. Group Theory 12 (2009), no. 3, 351–385.[MR]
  84. Susanne Danz and Burkhard Külshammer, The vertices and sources of the basic spin module for the symmetric group in characteristic 2, J. Pure Appl. Algebra 213 (2009), no. 7, 1264–1282.[MR]
  85. Susanne Danz and Burkhard Külshammer, Vertices of simple modules for symmetric groups: A survey, in Proceedings of the International Conference on Modules and Representation Theory, Presa Univ. Clujeană, Cluj-Napoca, 2009, pp. 61–77.[MR/link]
  86. Susanne Danz and Burkhard Külshammer, Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups, J. Algebra 322 (2009), no. 11, 3919–3949.[MR/doi]
  87. M. R. Darafsheh, A. Iranmanesh, and R. Kahkeshani, Some designs and codes invariant under the groups S9 and A8, Des. Codes Cryptogr. 51 (2009), no. 2, 211–223.[MR/doi]
  88. Italo J. Dejter, On a {K4,K2,2,2}-ultrahomogeneous graph., Australas. J. Comb. 44 (2009), 63–75.
  89. Christophe Delaunay and Christian Wuthrich, Self-points on elliptic curves of prime conductor, Int. J. Number Theory 5 (2009), no. 5, 911–932.[MR/doi]
  90. Lassina Dembélé, A non-solvable Galois extension of Q ramified at 2 only, C. R. Math. Acad. Sci. Paris 347 (2009), no. 3-4, 111–116.[MR/doi]
  91. Lassina Dembélé, On the computation of algebraic modular forms on compact inner forms of GSp4, preprint (2009), 21 pages.[arXiv]
  92. Lassina Dembele, Matthew Greenberg, and John Voight, Nonsolvable number fields ramified only at 3 and 5, preprint (2009), 18 pages.[arXiv]
  93. A. S. Detinko and D. L. Flannery, On deciding finiteness of matrix groups, J. Symbolic Comput. 44 (2009), no. 8, 1037–1043.[MR]
  94. A. S. Detinko, D. L. Flannery, and E. A. O'Brien, Deciding finiteness of matrix groups in positive characteristic, J. Algebra 322 (2009), no. 11, 4151–4160.[MR/doi]
  95. Alice Devillers, Michael Giudici, Cai Heng Li, and Cheryl E. Praeger, An infinite family of biquasiprimitive 2-arc transitive cubic graphs, Preprint (2009), 1–19.
  96. Michael Dewar and Olav K. Richter, Ramanujan congruences for Siegel modular forms, preprint (2009), 11 pages.[arXiv]
  97. Meghan DeWitt and Darrin Doud, Finding Galois representations corresponding to certain Hecke eigenclasses, Int. J. Number Theory 5 (2009), no. 1, 1–11.[MR/doi]
  98. Persi Diaconis, The Markov chain Monte Carlo revolution, Bull. Amer. Math. Soc. (N.S.) 46 (2009), no. 2, 179–205.[MR]
  99. Luis Dieulefait, E. Gonzalez-Jimenez, and J. Jimenez Urroz, On fields of definition of torsion points of elliptic curves with complex multiplication, preprint (2009).[arXiv]
  100. Luis Dieulefait and Xavier Taixes i Ventosa, Congruences between modular forms and lowering the level mod ln, Journal de Theorie des Nombres de Bordeaux 31 (2009), no. 1, 109–118.[arXiv]
  101. Tim Dokchitser and Vladimir Dokchitser, A note on the Mordell-Weil rank modulo n, preprint (2009), 7 pages.[arXiv]
  102. Konstantinos Draziotis and Dimitrios Poulakis, Corrigendum to "Solving the Diophantine equation y2=x(x2-n2)" [J. Number Theory 129 (1) (2009) 102–121] [mr2468473], J. Number Theory 129 (2009), no. 3, 739–740.[MR/doi]
  103. Konstantinos Draziotis and Dimitrios Poulakis, Solving the Diophantine equation y2=x(x2-n2), J. Number Theory 129 (2009), no. 1, 102–121.[MR/doi]
  104. Laurent Ducrohet, The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic, Ann. Inst. Fourier (Grenoble) 59 (2009), no. 4, 1641–1669.[MR/link]
  105. Emilie Dufresne, Jonathan Elmer, and Martin Kohls, The Cohen-Macaulay property of separating invariants of finite groups, Transform. Groups 14 (2009), no. 4, 771–785.[MR/doi]
  106. Alexander Duncan, Michael LeBlanc, and David L. Wehlau, A SAGBI basis for F[V2⊕V2⊕V3]C p, Canad. Math. Bull. 52 (2009), no. 1, 72–83.[MR]
  107. Matthew J. Dyer, Elementary roots and admissible subsets of coxeter groups, J. Group Theory, to appear (2009).
  108. G. L. Ebert, O. Polverino, G. Marino, and R. Trombetti, Semifields in class F4(a), Electron. J. Combin. 16 (2009), no. 1, 20.[MR]
  109. Gary L. Ebert, Giuseppe Marino, Olga Polverino, and Rocco Trombetti, On the multiplication of some semifields of order q6, Finite Fields Appl. 15 (2009), no. 2, 160–173.[MR]
  110. Yves Edel and Alexander Pott, A new almost perfect nonlinear function which is not quadratic, Adv. Math. Commun. 3 (2009), no. 1, 59–81.[MR/doi]
  111. Jonathan Elmer, Depth and detection in modular invariant theory, J. Algebra 322 (2009), no. 5, 1653–1666.[MR/doi]
  112. L. Hernandez Encinas, J. Munoz Masque, and A. Queiruga Dios, Analysis of the efficiency of the Chor–Rivest cryptosystem implementation in a safe-parameter range, Information Sciences, to appear (2009), 8 pages.
  113. M. Esmaeili and S. Yari, On complementary-dual quasi-cyclic codes, Finite Fields Appl. 15 (2009), no. 3, 375–386.[MR]
  114. Pavel Etingof, John Kim, and Xiaoguang Ma, On universal Lie nilpotent associative algebras, J. Algebra 321 (2009), no. 2, 697–703.[MR/doi]
  115. Ching-Hwa Eu and Travis Schedler, Calabi-Yau Frobenius algebras, J. Alg. 321 (2009), no. 3, 774-815.[arXiv]
  116. Anthony B. Evans, The admissibility of sporadic simple groups, Journal of Algebra 321 (2009), no. 1, 105–116.[doi]
  117. Graham Everest, Patrick Ingram, and Shaun Stevens, Primitive divisors on twists of Fermat's cubic, LMS J. Comput. Math. 12 (2009), 54–81.[MR/arXiv]
  118. Graham Everest and Valéry Mahé, A generalization of Siegel's theorem and Hall's conjecture, Experiment. Math. 18 (2009), no. 1, 1–9.[MR/arXiv]
  119. Xander Faber, Benjamin Hutz, Patrick Ingram, Rafe Jones, Michelle Manes, Thomas J. Tucker, and Michael E. Zieve, Uniform bounds on pre-images under quadratic dynamical systems, Math. Res. Lett. 16 (2009), no. 1, 87–101.[MR/arXiv]
  120. Ben Fairbairn, Improved upper bounds on the spreads of some large sporadic groups, preprint (2009), 11 pages.[arXiv]
  121. Tao Feng, Non-abelian skew hadamard difference sets fixed by a prescribed automorphism, J Combin. Theory Ser. A, to appear (2009).[doi]
  122. Thomas Feulner, The automorphism groups of linear codes and canonical representatives of their semilinear isometry classes, Adv. Math. Commun. 3 (2009), no. 4, 363–383.[MR/doi]
  123. Claus Fieker, Minimizing representations over number fields II. Computations in the Brauer group, J. Algebra 322 (2009), no. 3, 752–765.[MR/doi]
  124. W. Fish, J. D. Key, and E. Mwambene, Graphs, designs and codes related to the n-cube, Discrete Math. 309 (2009), no. 10, 3255–3269.[MR]
  125. Steven D. Galbraith and Xibin Lin, Computing pairings using x-coordinates only, Des. Codes Cryptogr. 50 (2009), no. 3, 305–324.[MR/eprint]
  126. Shuhong Gao, Daqing Wan, and Mingsheng Wang, Primary decomposition of zero-dimensional ideals over finite fields, Math. Comp. 78 (2009), no. 265, 509–521.[MR/link]
  127. Alice Garbagnati and Alessandra Sarti, Elliptic fibrations and symplectic automorphisms on K3 surfaces, Comm. Algebra 37 (2009), no. 10, 3601–3631.[MR/doi]
  128. Cesar A. Garcia-Vazquez and Carlos A. Lopez-Andrade, D-Heaps as hash tables for vectors over a finite ring, 2009 WRI World Conference on Computer Science and Information Engineering, WRI World Congress on Computer Science and Information Engineering, vol. 3, IEEE, 2009, pp. 162–166.[doi]
  129. Shelly Garion and Matteo Penegini, New Beauville surfaces, moduli spaces and finite groups, preprint (2009), 36 pages.[arXiv]
  130. Shelly Garion and Aner Shalev, Commutator maps, measure preservation, and T-systems, Trans. Amer. Math. Soc. 361 (2009), no. 9, 4631–4651.[MR]
  131. F. G. Garvan, Biranks for partitions into 2 colors, preprint (2009), 20 pages.[arXiv]
  132. University of Georgia VIGRE Algebra Group, On Kostant's theorem for Lie algebra cohomology, Lin, Zongzhu (ed.) et al., Representation Theory. Fourth International Conference on Representation Theory, Lhasa, China, July 16–20, 2007., Contemporary Mathematics, vol. 478, American Mathematical Society (AMS), Providence, RI, 2009, pp. 39–60.
  133. D. Ghinelli, M. J. de Resmini, and J. D. Key, Minimum words of codes from affine planes, J. Geom. 91 (2009), no. 1-2, 43–51.
  134. S. P. Glasby and Cheryl E. Praeger, Towards an efficient Meat-axe algorithm using f-cyclic matrices: the density of uncyclic matrices in M(n,q), J. Algebra 322 (2009), no. 3, 766–790.
  135. H. H. Glover, K. Kutnar, and Dragan Marušič, Hamiltonian cycles in cubic Cayley graphs: The <2, 4k, 3> case, J. Algebraic Combin., to appear (2009).
  136. Josep González and Jordi Guàrdia, Genus two curves with quaternionic multiplication and modular Jacobian, Math. Comp. 78 (2009), no. 265, 575–589.[MR]
  137. Enrique Gonzalez-Jimenez and Xavier Xarles, Five squares in arithmetic progression over quadratic fields, preprint (2009), 24 pages.[arXiv]
  138. Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskii, and Eugene Plotkin, A description of Baer-Suzuki type of the solvable radical of a finite group, J. Pure Appl. Algebra 213 (2009), no. 2, 250–258.[MR/doi]
  139. Eyal Z. Goren and Kristin E. Lauter, The distance between superspecial abelian varieties with real multiplication, J. Number Theory 129 (2009), no. 6, 1562–1578.[MR]
  140. Willem A. de Graaf, Constructing algebraic groups from their Lie algebras, J. Symbolic Comput. 44 (2009), no. 9, 1223–1233.[arXiv]
  141. Willem A. de Graaf and Andrea Pavan, Constructing arithmetic subgroups of unipotent groups, J. Algebra 322 (2009), no. 11, 3950–3970.[MR/doi]
  142. Willem A. de Graaf, Jana Pílniková, and Josef Schicho, Parametrizing del Pezzo surfaces of degree 8 using Lie algebras, J. Symbolic Comput. 44 (2009), no. 1, 1–14.[arXiv]
  143. Markus Grassl and T. Aaron Gulliver, On circulant self-dual codes over small fields, Des. Codes Cryptogr. 52 (2009), no. 1, 57–81.[MR]
  144. Markus Grassl and T. Aaron Gulliver, On circulant self-dual codes over small fields, Des. Codes Cryptogr. 52 (2009), no. 1, 57–81.
  145. Markus Grassl and Rainer Steinwandt, Cryptanalysis of an authentication scheme using truncated polynomials, Inform. Process. Lett. Article in Press (2009).
  146. David J. Green, Gröbner bases for p-group algebras, preprint (2009).[arXiv]
  147. Grigor Grigorov, Andrei Jorza, Stefan Patrikis, William A. Stein, and Corina Tarnita, Computational verification of the birch and swinnerton-dyer conjecture for individual elliptic curves, Math. Comp 78 (2009), 2397–2425.
  148. J. Guardia, J. Montes, and E. Nart, Higher Newton polygons and integral bases, preprint (2009).[arXiv]
  149. Xavier Guitart and Jordi Quer, Modular abelian varieties over number fields, preprint (2009), 24 pages.[arXiv]
  150. Cem Güneri, Henning Stichtenoth, and Ihsan Taşkın, Further improvements on the designed minimum distance of algebraic geometry codes, J. Pure Appl. Algebra 213 (2009), no. 1, 87–97.[MR]
  151. Paul E. Gunnells and Dan Yasaki, Perfect forms over totally real number fields, preprint (2009), 11 pages.[arXiv]
  152. Annika Günther, A mass formula for self-dual permutation codes, Finite Fields Appl. 15 (2009), no. 4, 517–533.[MR/doi]
  153. Robert Guralnick and Susan Montgomery, Frobenius-Schur indicators for subgroups and the Drinfeld double of Weyl groups, Trans. Amer. Math. Soc. 361 (2009), no. 7, 3611–3632.[MR/arXiv]
  154. K. Győry, L. Hajdu, and Á. Pintér, Perfect powers from products of consecutive terms in arithmetic progression, Compos. Math. 145 (2009), no. 4, 845–864.[MR/doi]
  155. Lajos Hajdu, Optimal systems of fundamental S-units for LLL-reduction, Period. Math. Hungar. 59 (2009), no. 1, 53–79.[MR/doi]
  156. Lajos Hajdu and Szabolcs Tengely, Arithmetic progressions of squares, cubes and n-th powers, Funct. Approx. Comment. Math. 41 (2009), no. 2, 129–138.[MR/arXiv]
  157. Lajos Hajdu, Szabolcs Tengely, and Robert Tijdeman, Cubes in products of terms in arithmetic progression, Publ. Math. Debrecen 74 (2009), no. 1-2, 215–232.[MR]
  158. Marshall Hampton and Richard Moeckel, Finiteness of stationary configurations of the four-vortex problem, Trans. Amer. Math. Soc. 361 (2009), no. 3, 1317-1332.
  159. Masaaki Harada, On the existence of frames of the Niemeier lattices and self-dual codes over Fp, J. Algebra 321 (2009), no. 8, 2345–2352.[MR/doi]
  160. Masaaki Harada and Akihiro Munemasa, A complete classification of ternary self-dual codes of length 24, J. Combin. Theory Ser. A 116 (2009), no. 5, 1063–1072.[MR/arXiv]
  161. Masaaki Harada, Akihiro Munemasa, and Boris Venkov, Classification of ternary extremal self-dual codes of length 28, Math. Comp. 78 (2009), no. 267, 1787–1796.[MR]
  162. David Harari and Tamás Szamuely, Galois sections for abelianized fundamental groups, Math. Ann. 344 (2009), no. 4, 779–800.[MR/arXiv]
  163. David Harvey, A cache-friendly truncated FFT, Theor. Comput. Sci. 410 (2009), no. 27-29, 2649–2658.[arXiv]
  164. David Harvey, Faster polynomial multiplication via multipoint Kronecker substitution, J. Symbolic Comp. 44 (2009), no. 10, 1502–1510.
  165. George Havas and Michael Vaughan-Lee, On counterexamples to the Hughes conjecture, J. Algebra 322 (2009), no. 3, 791–801.
  166. David J. Hemmer, The complexity of certain Specht modules for the symmetric group, J. Algebraic Combin. 30 (2009), no. 4, 421–427.[MR/doi]
  167. Laura Hitt, Families of genus 2 curves with small embedding degree, J. Math. Cryptol. 3 (2009), no. 1, 19–36.[MR/link]
  168. C. Hollanti, J. Lahtonen, K. Ranto, and R. Vehkalahti, On the densest MIMO lattices from cyclic division algebras, IEEE Trans. Comp. 55 (2009), no. 8, 3751–3780.[arXiv]
  169. Camilla Hollanti and Hsiao-Feng Lu, Construction methods for asymmetric multiblock space-time codes, IEEE Trans. Inform. Theory 55 (2009), no. 3, 1086–1103.
  170. Benjamin Howard, John Millson, Andrew Snowden, and Ravi Vakil, The equations for the moduli space of n points on the line, Duke Math. J. 146 (2009), no. 2, 175–226.[MR/doi]
  171. Robert B. Howlett and Yunchuan Yin, Computational construction of irreducible W-graphs for types E6 and E7, J. Algebra 321 (2009), no. 8, 2055–2067.[MR]
  172. Isabel Hubard, Alen Orbanić, and Asia Ivić Weiss, Monodromy groups and self-invariance, Canad. J. Math. 61 (2009), no. 6, 1300–1324.[MR/link]
  173. Hendrik Hubrechts, Quasi-quadratic elliptic curve point counting using rigid cohomology, J. Symb. Comput. 44 (2009), no. 9, 1255–1267.[arXiv]
  174. Stephen P. Humphries, Subgroups of free groups generated by conjugates of powers of the generators, J. Group Theory 12 (2009), no. 3, 465–485.[MR/doi]
  175. Stephen P. Humphries and Kenneth W. Johnson, Fusions of character tables II. p-groups, Comm. Algebra 37 (2009), no. 12, 4296–4315.[MR/doi]
  176. Stephen P. Humphries and Zane Kun Li, Counting powers of words in monoids, European J. Combin. 30 (2009), no. 5, 1297–1308.[MR]
  177. Paul Hurley and Ted Hurley, Codes from zero-divisors and units in group rings, International Journal of Information and Coding Theory 1 (2009), no. 1, 57–87.[arXiv]
  178. Ted Hurley, Convolutional codes from units in matrix and group rings, Int. J. Pure Appl. Math. 50 (2009), no. 3, 431–463.[MR/arXiv]
  179. Patrick Ingram, Cubic polynomials with periodic cycles of a specified multiplier, preprint (2009), 26 pages.[arXiv]
  180. Patrick Ingram, Multiples of integral points on elliptic curves, J. Number Theory 129 (2009), no. 1, 182–208.[MR/doi]
  181. A. Jaikin-Zapirain, M. F. Newman, and E. A. O'Brien, On p-groups having the minimal number of conjugacy classes of maximal size, Israel J. Math. 172 (2009), 119–123.[MR/doi]
  182. David Jao and Kayo Yoshida, Boneh-Boyen signatures and the strong Diffie-Hellman problem, IACR (2009), 24 pages.[eprint]
  183. Jean-François Jaulent, Sebastian Pauli, Michael E. Pohst, and Florence Soriano-Gafiuk, Computation of 2-groups of narrow logarithmic divisor classes of number fields, J. Symbolic Comput. 44 (2009), no. 7, 852–863.[MR/doi]
  184. Dimitar Jetchev, Kristin Lauter, and William Stein, Explicit Heegner points: Kolyvagin's conjecture and non-trivial elements in the Shafarevich-Tate group, J. Number Theory 129 (2009), no. 2, 284–302.[doi]
  185. Masakazu Jimbo and Keisuke Shiromoto, A construction of mutually disjoint Steiner systems from isomorphic Golay codes, J. Combin. Theory Ser. A 116 (2009), no. 7, 1245–1251.[MR/doi]
  186. Norman L. Johnson, Giuseppe Marino, Olga Polverino, and Rocco Trombetti, On a generalization of cyclic semifields, J. Algebraic Combin. 29 (2009), no. 1, 1–34.[MR/doi]
  187. Ben Kane, CM liftings of supersingular elliptic curves, preprint (2009), 26 pages.[arXiv]
  188. Benjamin Kane, Representing sets with sums of triangular numbers, Int. Math. Res. Not. IMRN (2009), no. 17, 3264–3285.[MR]
  189. Kerem Kaskaloglu and Ferruh Özbudak, A simple scheme for hierarchical threshold access structures, IACR (2009), 8.[eprint]
  190. Brent Kerby, Automorphism groups of Schur rings, preprint (2009), 21 pages.[arXiv]
  191. J. D. Key, T. P. McDonough, and V. C. Mavron, An upper bound for the minimum weight of the dual codes of Desarguesian planes, European J. Combin. 30 (2009), no. 1, 220–229.[MR]
  192. J. D. Key, J. Moori, and B. G. Rodrigues, Partial permutation decoding of some binary codes from graphs on triples, Ars Combin. 91 (2009), 363–371.[MR]
  193. J. D. Key, J. Moori, and B. G. Rodrigues, Ternary codes from graphs on triples, Discrete Math. 309 (2009), no. 14, 4663–4681.[MR/doi]
  194. Masanari Kida, Guénaël Renault, and Kazuhiro Yokoyama, Quintic polynomials of Hashimoto-Tsunogai, Brumer and Kummer, Int. J. Number Theory 5 (2009), no. 4, 555–571.[MR/doi]
  195. Michael Kiermaier and Sascha Kurz, Maximal integral point sets in affine planes over finite fields, Discrete Math. 309 (2009), no. 13, 4564–4575.[MR]
  196. L. J. P. Kilford, Experimental finding of modular forms for noncongruence subgroups, preprint (2009), 12 pages.[arXiv]
  197. Hyun Kyu Kim, Representation theoretic existence proof for Fischer group Fi23, Master's Thesis, Cornell University, 2009.[arXiv]
  198. Hyun Kyu Kim and Gerhard O. Michler, Construction of Co1 from an irreducible subgroup M24 of GL11(2), preprint (2009), 220 pages.[arXiv]
  199. M. Klin, G. A. Jones, A. Jurisic, M. Muzychuk, and I. Ponomarenko (eds.), Algorithmic algebraic combinatorics and gröbner bases, Springer, Berlin, 2009, pp. 309.
  200. Martin Kohls, On the depth of invariant rings of infinite groups, J. Algebra 322 (2009), no. 1, 210–218.[MR/arXiv]
  201. Joachim König, Solvability of generalized monomial groups, J. Group Theory, to appear (2009).
  202. Joachim König, Solvability of generalized monomial groups, preprint (2009), 21 pages.[arXiv]
  203. Elisavet Konstantinou and Aristides Kontogeorgis, Computing polynomials of the Ramanujan tn class invariants, Canad. Math. Bull. 52 (2009), no. 4, 583–597.[MR/link]
  204. Christos Koukouvinos and Dimitris E. Simos, Improving the lower bounds on inequivalent Hadamard matrices through orthogonal designs and meta-programming techniques, Applied Numerical Mathematics, to appear (2009).
  205. István Kovács, Aleksander Malnič, Dragan Marušič, and Štefko Miklavič, One-matching bi-Cayley graphs over abelian groups, European J. Combin. 30 (2009), no. 2, 602–616.[MR]
  206. Tünde Kovács, Combinatorial numbers in binary recurrences, Period. Math. Hungar. 58 (2009), no. 1, 83–98.[MR/doi]
  207. Matthias Krause and Dirk Stegemann, More on the security of linear RFID authentication protocols, Selected Areas in Cryptography, Lecture Notes in Comput. Sci., vol. 5867, Springer, Berlin, 2009, pp. 182–196.[doi]
  208. Matthias Künzer, Nonisomorphic Verdier octahedra on the same base, J. Homotopy Relat. Struct. 4 (2009), no. 1, 7–38.[MR/arXiv]
  209. K. Kutnar, Aleksander Malnič, Dragan Marušič, and Štefko Miklavič, The strongly distance-balanced property of the generalized Petersen graphs, Ars Math. Contemp. 2 (2009), no. 1, 41–47.
  210. Klavdija Kutnar and Dragan Marušič, A complete classification of cubic symmetric graphs of girth 6, J. Combin. Theory Ser. B 99 (2009), no. 1, 162–184.[MR]
  211. Klavdija Kutnar, Dragan Marušič, Štefko Miklavič, and Primož Šparl, Strongly regular tri-Cayley graphs, European J. Combin. 30 (2009), no. 4, 822–832.[MR]
  212. Klavdija Kutnar and Primož Šparl, Hamilton paths and cycles in vertex-transitive graphs of order 6p, Discrete Math. 309 (2009), no. 17, 5444–5460.[MR/doi]
  213. Reinhard Laubenbacher and Bernd Sturmfels, Computer algebra in systems biology, American Mathematical Monthly 116 (2009), no. 10, 882–891.
  214. Alan G. B. Lauder, Degenerations and limit Frobenius structures in rigid cohomology, preprint (2009), 41 pages.[arXiv]
  215. Eunjeong Lee, Hyang-Sook Lee, and Cheol-Min Park, Efficient and generalized pairing computation on abelian varieties, IEEE Trans. Inform. Theory 55 (2009), no. 4, 1793–1803.[MR/doi/eprint]
  216. C. R. Leedham-Green and E. A. O'Brien, Constructive recognition of classical groups in odd characteristic, J. Algebra 322 (2009), no. 3, 833–881.[MR/doi]
  217. Dimitri Leemans, Locally s-arc-transitive graphs related to sporadic simple groups, J. Algebra 322 (2009), no. 3, 882–892.[MR/doi]
  218. Douglas A. Leonard, A weighted module view of integral closures of affine domains of type I, Adv. Math. Commun. 3 (2009), no. 1, 1-11.
  219. Ka Hin Leung and Qing Xiang, On the dimensions of the binary codes of a class of unitals, Discrete Math. 309 (2009), no. 3, 570–575.[MR/doi]
  220. Mark L. Lewis, A group with three real irreducible characters: answering a question of Moretó and Navarro, J. Algebra Appl. 8 (2009), no. 4, 453–459.[MR/doi/arXiv]
  221. Mark L. Lewis, Brauer pairs of Camina p-groups of nilpotence class 2, Arch. Math. (Basel) 92 (2009), no. 2, 95–98.[MR/arXiv]
  222. Mark L. Lewis, The vanishing-off subgroup, J. Algebra 321 (2009), no. 4, 1313–1325.[MR]
  223. Cai Heng Li, Tian Khoon Lim, and Cheryl E. Praeger, Homogeneous factorisations of complete graphs with edge-transitive factors, J. Algebraic Combin. 29 (2009), no. 1, 107–132.[MR]
  224. Xin Li, Marc Moreno Maza, and Éric Schost, Fast arithmetic for triangular sets: from theory to practice, J. Symbolic Comput. 44 (2009), no. 7, 891–907.[MR]
  225. Kay Jin Lim, The varieties for some Specht modules, J. Algebra 321 (2009), no. 8, 2287–2301.[MR]
  226. Tian Khoon Lim and Cheryl E. Praeger, On generalized Paley graphs and their automorphism groups, Michigan Math. J. 58 (2009), no. 1, 293–308.[MR/arXiv]
  227. Adam Logan and Ronald van Luijk, Nontrivial elements of Sha explained through K3 surfaces, Math. Comp. 78 (2009), no. 265, 441–483.[MR]
  228. Álvaro Lozano-Robledo, On the product of twists of rank two and a conjecture of Larsen, Ramanujan J. 19 (2009), no. 1, 53–61.[MR/doi]
  229. Florian Luca and Alain Togbé, On the Diophantine equation x2+2α13β=yn, Colloq. Math. 116 (2009), no. 1, 139–146.[MR/doi]
  230. Piotr Maciak, Primes of the form x2+n*y2 in function fields, preprint (2009), 12 pages.[arXiv]
  231. Kay Magaard, Tanush Shaska, and Helmut Völklein, Genus 2 curves that admit a degree 5 map to an elliptic curve, Forum Math. 21 (2009), no. 3, 547–566.[MR]
  232. A. Marschner and J. Müller, On a certain algebra of higher modular forms, Algebra Colloq. 16 (2009), 371–380.
  233. Jacques Martinet and Achill Schürmann, On classifying Minkowskian sublattices, preprint (2009), 29 pages.[arXiv]
  234. Conchita Martinez-Perez and Wolfgang Willems, The trivial intersection problem for characters of principal indecomposable modules, Adv. Math. 222 (2009), no. 4, 1197–1219.
  235. Sandro Mattarei and Marina Avitabile, Diamonds of finite type in thin Lie algebras, J. Lie Theory 19 (2009), no. 1, 431–439.
  236. Stefan Maubach and Roel Willems, Polynomial automorphisms over finite fields: Mimicking non-tame and tame maps by the Derksen group, preprint (2009), 22 pages.[arXiv]
  237. J. C van der Meer, Generic one-parameter versal unfoldings of symmetric hamiltonian systems in 1 : 1 resonance, Int. J. Pure Appl. Math 53 (2009), no. 4, 547–561.
  238. J. M. Miret, R. Moreno, J. Pujolàs, and A. Rio, Halving for the 2-Sylow subgroup of genus 2 curves over binary fields, Finite Fields Appl. 15 (2009), no. 5, 569–579.[MR/doi]
  239. J. Miret, R. Moreno, A. Rio, and M. Valls, Computing the l-power torsion of an elliptic curve over a finite field, Math. Comp. 78 (2009), no. 267, 1767–1786.[MR]
  240. Josep M. Miret, Jordi Pujolàs, and Anna Rio, Bisection for genus 2 curves in odd characteristic, Proc. Japan Acad. Ser. A Math. Sci. 85 (2009), no. 4, 55–60.[MR/doi]
  241. Marcel Mohyla and Gabor Wiese, A computational study of the asymptotic behaviour of coefficient fields of modular forms, preprint (2009), 19 pages.[arXiv]
  242. Teo Mora, The FGLM problem and Möller's algorithm on zero-dimensional ideals, Sala, Massimiliano (ed.) and Mora, Teo (ed.) and Perret, Ludovic (ed.) and Sakata, Shojiro (ed.) and Traverso, Carlo (ed.), Gröbner Bases, Coding, and Cryptography, Springer, Berlin, 2009.
  243. I. Morel, D. Stehlé, and G. Villard, Analyse numerique et reduction de reseaux, Technique et Science Informatiques, to appear (2009), 29 pages.
  244. Ian Morrison and David Swinarski, Groebner techniques for low degree Hilbert stability, preprint (2009), 25 pages.[arXiv]
  245. Nadia El Mrabet, Nicolas Guillermin, and Sorina Ionica, A study of pairing computation for curves with embedding degree 15, IACR (2009), 13 pages.[eprint]
  246. J. -M. Muller, N. Brisebarre, F. de Dinechin, C. -P. Jeannerod, L. Vincent, G. Melquiond, N. Revol, D. Stehlé, and S. Torres, Handbook of floating-point arithmetic, Birkhäuser, Boston, MA, 2009, pp. 660.
  247. Gabriele Nebe and Allan Steel, Recognition of division algebras, J. Algebra 322 (2009), no. 3, 903–909.[doi]
  248. M. F. Newman, On coclass and trivial Schur multiplicator, J. Algebra 322 (2009), no. 3, 910–913.[MR/doi]
  249. Harris Nover, Computation of Galois groups associated to the 2-class towers of some imaginary quadratic fields with 2-class group C2×C2×C2, Journal of Number Theory 129 (2009), no. 1, 231–245.[doi]
  250. Hiroshi Nozaki, Geometrical approach to Seidel's switching for strongly regular graphs, preprint (2009), 9 pages.[arXiv]
  251. Naoki Ogura and Shigenori Uchiyama, Cryptanalysis of the birational permutation signature scheme over a non-commutative ring, IACR (2009), 13 pages.[eprint]
  252. Ju-Mok Oh, A classification of cubic s-regular graphs of order 14p, Discrete Math. 309 (2009), no. 9, 2721–2726.[MR]
  253. Ju-Mok Oh, A classification of cubic s-regular graphs of order 16p, Discrete Math. 309 (2009), no. 10, 3150–3155.[MR]
  254. Ju-Mok Oh, Arc-transitive elementary abelian covers of the Pappus graph, Discrete Math. 309 (2009), no. 23-24, 6590–6611.[MR/doi]
  255. Roger Oyono, Non-hyperelliptic modular Jacobians of dimension 3, Math. Comp. 78 (2009), no. 266, 1173–1191.[MR]
  256. Ekin Ozman, Local points on quadratic twists of X0(N), preprint (2009), 26 pages.[arXiv]
  257. David Pask, Iain Raeburn, and Natasha A. Weaver, A family of 2-graphs arising from two-dimensional subshifts, Ergodic Theory Dynam. Systems 29 (2009), no. 5, 1613–1639.[MR/doi]
  258. David Penneys, A cyclic approach to the annular Temperley-Lieb category, preprint (2009), 35 pages.[arXiv]
  259. L. J. D. Perez, Ezekiel J. Kachisa, and Michael Scott, Implementing cryptographic pairings: A Magma tutorial, IACR (2009), 30 pages.[eprint]
  260. Á. Pintér, On a class of Diophantine equations related to the numbers of cells in hyperplane arrangements, J. Number Theory 129 (2009), no. 7, 1664–1668.[MR]
  261. Michel Planat, Clifford group dipoles and the enactment of Weyl/Coxeter group W(E8) by entangling gates, preprint (2009).[arXiv]
  262. Michel Planat, Peter Levay, and Metod Saniga, Balanced tripartite entanglement, the alternating group A4 and the Lie algebra sl(3,C)⊕u(1), preprint (2009), 14 pages.[arXiv]
  263. W. Plesken and A. Fabiańska, An L2-quotient algorithm for finitely presented groups, J. Algebra 322 (2009), no. 3, 914–935.[MR/doi]
  264. Francesco Polizzi, Standard isotrivial fibrations with pg = q = 1, Journal of Algebra 321 (2009), no. 6, 1600–1631.[doi/arXiv]
  265. Primož Potočnik, A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4,2), European J. Combin. 30 (2009), no. 5, 1323–1336.[MR]
  266. Jordi Quer, Fields of definition of building blocks, Math. Comp. 78 (2009), no. 265, 537–554.[MR]
  267. Evija Ribnere, Sequences of words characterizing finite solvable groups, Monatsh. Math. 157 (2009), no. 4, 387–401.[MR/doi]
  268. Evija Ribnere, Sequences of words characterizing finite solvable groups, Monatsh. Math 157 (2009), no. 4, 387–401.
  269. Carlos Rito, A note on Todorov surfaces, Osaka J. Math. 46 (2009), no. 3, 685–693.[MR/link]
  270. Daniel Robertz, Noether normalization guided by monomial cone decompositions, J. Symbolic Comput. 44 (2009), no. 10, 1359–1373.[MR/doi]
  271. Magali Rocher, Large p-group actions with a p-elementary abelian derived group, Journal of Algebra 321 (2009), no. 2, 704–740.[doi]
  272. I. F. Rúa, Elías F. Combarro, and J. Ranilla, Classification of semifields of order 64, J. Algebra 322 (2009), no. 11, 4011–4029.[MR/doi]
  273. Núria Vila Sara Arias-de-Reyna, Tame Galois realizations of GSp4(Fl) over Q, preprint (2009), 29 pages.[arXiv]
  274. Diana Savin, About certain prime numbers, preprint (2009), 9.[arXiv]
  275. Roberto La Scala and Viktor Levandovskyy, Letterplace ideals and non-commutative Gröbner bases, J. Symbolic Comp. 44 (2009), no. 10, 1374-1393.
  276. Achill Schürmann, Enumerating perfect forms, Proceedings of the International Conference on Quadratic Forms, Chile 2007, Contemporary Mathematics, vol. To appear, 2009, 22 pages.[arXiv]
  277. Igor Semaev, Sparse boolean equations and circuit lattices, IACR (2009), 15 pages.[eprint]
  278. Mehmet Haluk Şengün, The nonexistence of certain representations of the absolute Galois group of quadratic fields, Proc. Amer. Math. Soc. 137 (2009), no. 1, 27–35.[MR]
  279. Amit R. Sharma, Bastiaan J. Braams, Stuart Carter, Benjamin C. Shepler, and Joel M. Bowman, Full-dimensional ab initio potential energy surface and vibrational configuration interaction calculations for vinyl, J. Chem. Phys 130 (2009), no. 174301, 9 pages.
  280. Jessica Sidman and Seth Sullivant, Prolongations and computational algebra, Canad. J. Math. 61 (2009), no. 4, 930–949.[MR/link]
  281. Samir Siksek, Chabauty for symmetric powers of curves, Algebra Number Theory 3 (2009), no. 2, 209–236.[MR/doi]
  282. Samir Siksek and Michael Stoll, On a problem of Hajdu and Tengely, preprint (2009), 8 pages.[arXiv]
  283. Sean Simmons, Algebraic cryptanalysis of simplified AES*, Cryptologia 33 (2009), no. 4, 305–314.[doi]
  284. Vijaykumar Singh and Gary McGuire, The intersection of two Fermat hypersurfaces in P3 via computation of quotient curves, preprint (2009), 16 pages.[arXiv]
  285. B. Smith, Isogenies and the discrete logarithm problem in Jacobians of genus 3 hyperelliptic curves, J. Cryptology 22 (2009), no. 4, 505–529.
  286. Benjamin Smith, Families of explicit isogenies of hyperelliptic Jacobians, Arithmetic, Geometry, Cryptography and Coding Theory, Contemporary Mathematics, vol. 521, AMS, Providence, R.I., 2009, pp. 121–144.[arXiv]
  287. Bernd Souvignier, Decomposing homogeneous modules of finite groups in characteristic zero, J. Algebra 322 (2009), no. 3, 948–956.
  288. Pablo Spiga, CI-property of elementary abelian 3-groups, Discrete Math. 309 (2009), no. 10, 3393–3398.[MR]
  289. Damien Stehlé, Floating-point LLL: Theoretical and practical aspects, Proceedings of LLL+25 Conference, 2007 (2009), 36 pages.
  290. Alexander Stein, On Bruck loops of 2-power exponent, II, preprint (2009), 30 pages.[arXiv]
  291. M. Chiara Tamburini and M. A. Vsemirnov, Irreducible (237)-subgroups of n[less-than-or-equals slant]7 ii, Journal of Algebra, to appear (2009).[doi]
  292. Stephen Tawn, A presentation for the pure Hilden group, preprint (2009), 26 pages.[arXiv]
  293. Agnese Ilaria Telloni, On the groups of some fibered spaces, J. Group Theory, to appear (2009).
  294. Damiano Testa, Anthony Vàrilly-Alvarado, and Mauricio Velasco, Cox rings of degree one del Pezzo surfaces, Algebra and Number Theory 3 (2009), 729–761.[arXiv]
  295. Shigeo Tsujii, Kohtaro Tadaki, Masahito Gotaishi, Ryo Fujita, and Masao Kasahara, Proposal of PPS multivariate public key cryptosystems, IACR (2009), 21 pages.[eprint]
  296. Valeérie Gauthier Umaña and Gregor Leander, Practical key recovery attacks on two McEliece variants, IACR eprint:2009/509 (2009), 1–19.[link]
  297. Anthony Várilly-Alvarado and David Zywina, Arithmetic E8 lattices with maximal Galois action, LMS J. Comput. Math. 12 (2009), 144–165.[MR/arXiv]
  298. Xavier Taixes i Ventosa and Gabor Wiese, Computing congruences of modular forms and Galois representations modulo prime powers, preprint (2009), 26 pages.[arXiv]
  299. Bianca Viray, A family of varieties with exactly one pointless rational fiber, preprint (2009), 4 pages.[arXiv]
  300. John Voight, Computing fundamental domains for Fuchsian groups, J. Théor. Nombres Bordeaux 21 (2009), no. 2, 469–491.[MR/link]
  301. John Voight, Shimura curves of genus at most two, Math. Comp. 78 (2009), no. 266, 1155–1172.[MR]
  302. John Voight, The gauss higher relative class number problem, Ann. Sci. Math. Québec Accepted (2009), 10 pages.[arXiv]
  303. Xiuyun Wang and Yan-Quan Feng, Hexavalent half-arc-transitive graphs of order 4p, European J. Combin. 30 (2009), no. 5, 1263–1270.[MR]
  304. Yimin Wang, Benjamin C. Shepler, Bastiaan J. Braams, and Joel M. Bowman, Full-dimensional, ab initio potential energy and dipole moment surfaces for water, J. Chem. Phys 131 (2009), no. 054511, 8 pages.
  305. Uri Weiss, On Shephard groups with large triangles, preprint (2009), 30 pages.[arXiv]
  306. Gabor Wiese, On modular symbols and the cohomology of Hecke triangle surfaces, Int. J. Number Theory 5 (2009), no. 1, 89–108.[MR/arXiv]
  307. Stewart Wilcox, Reduction of the Hall-Paige conjecture to sporadic simple groups, J. Algebra 321 (2009), no. 5, 1407–1428.[MR]
  308. Mark Wildon, Multiplicity-free representations of symmetric groups, J. Pure Appl. Algebra 213 (2009), no. 7, 1464–1477.[MR]
  309. Gerald Williams, The aspherical Cavicchioli-Hegenbarth-Pepovš generalized Fibonacci groups, J. Group Theory 12 (2009), no. 1, 139–149.[MR/doi]
  310. J. B. Wilson, Finding central decompositions of p-groups, J. Group Theory 12 (2009), 813–830.[doi]
  311. Kenneth Koon-Ho Wong, Gregory V. Bard, and Robert H. Lewis, Partitioning multivariate polynomial equations via vertex separators for algebraic cryptanalysis and mathematical applications, IACR (2009), 33 pages.[eprint]
  312. Dan Yasaki, Binary Hermitian forms over a cyclotomic field, J. Algebra 322 (2009), no. 11, 4132–4142.[MR/doi]
  313. Dan Yasaki, Elliptic points of the Picard modular group, Monatsh. Math. 156 (2009), no. 4, 391–396.[MR]
  314. Stephen S. -T. Yau and Huaiqing Zuo, Notes on classification of toric surface codes of dimension 5, Appl. Algebra Engrg. Comm. Comput. 20 (2009), no. 2, 175–185.[MR/doi]
  315. Jahan Zahid, Zeros of p-adic forms, J. Number Theory 129 (2009), no. 10, 2439–2456.[MR/doi]
  316. Yuri G. Zarhin, Absolutely simple Prymians of trigonal curves, Proceedings of the Steklov Institute of Mathematics 264 (2009), no. 1, 204-215.[arXiv]
  317. Alexey Zaytsev and Gary McGuire, On the zeta functions of an optimal tower of function fields over F4, preprint (2009), 14 pages.[arXiv]
  318. Cui Zhang, Jin-Xin Zhou, and Yan-Quan Feng, Automorphisms of cubic Cayley graphs of order 2pq, Discrete Math. 309 (2009), no. 9, 2687–2695.[MR]
  319. Haina Zhang and Xiaoyun Wang, Cryptanalysis of stream cipher grain family, IACR (2009), 14 pages.[eprint]
  320. Peng Zhang, Satoshi Maeda, Keiji Morokuma, and Bastiaan J. Braams, Photochemical reactions of the low-lying excited states of formaldehyde: T1/S0 intersystem crossings, characteristics of the S1 and T1 potential energy surfaces, and a global T1 potential energy surface, J. Chem. Phys 130 (2009), no. 114304, 10 pages.
  321. Jin-Xin Zhou, Tetravalent s-transitive graphs of order 4p, Discrete Math. 309 (2009), no. 20, 6081–6086.[MR/doi]
  322. Jin-Xin Zhou and Yan-Quan Feng, Tetravalent one-regular graphs of order 2pq, J. Algebraic Combin. 29 (2009), no. 4, 457–471.[MR]
  323. David Zywina, A refinement of Koblitz's conjecture, preprint (2009).[arXiv]