Geometry

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  12. Thomas Baird, GKM sheaves and nonorientable surface group representations, preprint (2010), 49 pages.[arXiv]
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  14. R. D. Baker, J. M. N. Brown, G. L. Ebert, and J. C. Fisher, Projective bundles, Bull. Belg. Math. Soc. Simon Stevin 1 (1994), no. 3, 329–336.[MR]
  15. R. D. Baker, J. M. Dover, G. L. Ebert, and K. L. Wantz, Hyperbolic fibrations of PG(3,q), European J. Combin. 20 (1999), no. 1, 1–16.[MR]
  16. R. D. Baker, J. M. Dover, G. L. Ebert, and K. L. Wantz, Perfect Baer subplane partitions and three-dimensional flag-transitive planes, Des. Codes Cryptogr. 21 (2000), no. 1-3, 19–39.[MR]
  17. R. D. Baker and G. L. Ebert, A new class of translation planes, Combinatorics '86 (Trento, 1986), Ann. Discrete Math., vol. 37, North-Holland, Amsterdam, 1988, pp. 7–20.[MR]
  18. R. D. Baker and G. L. Ebert, Construction of two-dimensional flag-transitive planes, Geom. Dedicata 27 (1988), no. 1, 9–14.[MR]
  19. R. D. Baker and G. L. Ebert, Nests of size q – 1 and another family of translation planes, J. London Math. Soc. (2) 38 (1988), no. 2, 341–355.[MR]
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  21. R. D. Baker and G. L. Ebert, On Buekenhout-Metz unitals of odd order, J. Combin. Theory Ser. A 60 (1992), no. 1, 67–84.[MR]
  22. R. D. Baker and G. L. Ebert, A Bruen chain for q = 19, Des. Codes Cryptogr. 4 (1994), no. 4, 307–312.[MR]
  23. R. D. Baker and G. L. Ebert, Filling the nest gaps, Finite Fields Appl. 2 (1996), no. 1, 42–61.[MR]
  24. R. D. Baker, G. L. Ebert, K. H. Leung, and Q. Xiang, A trace conjecture and flag-transitive affine planes, J. Combin. Theory Ser. A 95 (2001), no. 1, 158–168.[MR]
  25. R. D. Baker, G. L. Ebert, and K. L. Wantz, Regular hyperbolic fibrations, Adv. Geom. 1 (2001), no. 2, 119–144.[MR]
  26. R. D. Baker, G. L. Ebert, and K. L. Wantz, Enumeration of orthogonal Buekenhout unitals, Des. Codes Cryptogr. 55 (2010), no. 2-3, 261–283.[MR/doi]
  27. R. D. Baker, G. L. Ebert, and R. Weida, Another look at Bruen chains, J. Combin. Theory Ser. A 48 (1988), no. 1, 77–90.[MR]
  28. R. D. Baker and K. L. Wantz, Unitals in the code of the Hughes plane, J. Combin. Des. 12 (2004), no. 1, 35–38.[MR]
  29. Ronald D. Baker, C. Culbert, Gary L. Ebert, and Keith E. Mellinger, Odd order flag-transitive affine planes of dimension three over their kernel, Adv. Geom. 3 (2003), S215–S223.[MR]
  30. Ronald D. Baker, Jeremy M. Dover, Gary L. Ebert, and Kenneth L. Wantz, Baer subgeometry partitions, J. Geom. 67 (2000), no. 1-2, 23–34.[MR]
  31. Simeon Ball, Gary Ebert, and Michel Lavrauw, A geometric construction of finite semifields, J. Algebra 311 (2007), no. 1, 117–129.[MR]
  32. 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]
  33. Eiichi Bannai and Etsuko Bannai, On Euclidean tight 4-designs, J. Math. Soc. Japan 58 (2006), no. 3, 775–804.[MR]
  34. L. M. Batten and J. M. Dover, Some sets of type (m,n) in cubic order planes, Des. Codes Cryptogr. 16 (1999), no. 3, 211–213.[MR]
  35. Lynn M. Batten and Jeremy M. Dover, Blocking semiovals of type (1,M + 1,N + 1), SIAM J. Discrete Math. 14 (2001), no. 4, 446–457 (electronic).[MR]
  36. O. Bauduin, Géométries résiduellement faiblement primitives de pitits groupes affins, Master's Thesis, Université Libre de Bruxelles, 1999.
  37. Philip Boalch, Some explicit solutions to the Riemann-Hilbert problem, preprint (2005), 24 pages.[arXiv]
  38. Denis Bonheure, Francis Buekenhout, and Dimitri Leemans, On the Petrials of thin rank 3 geometries, J. Geom. 71 (2001), no. 1-2, 19–25.[MR]
  39. A. Bonisoli and A. Cossidente, Inscribed bundles, Veronese surfaces and caps, Geometry, Combinatorial Designs and Related Structures (Spetses, 1996), London Math. Soc. Lecture Note Ser., vol. 245, Cambridge Univ. Press, Cambridge, 1997, pp. 27–32.[MR]
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  41. Arrigo Bonisoli and Gloria Rinaldi, A class of complete arcs in multiply derived planes, Adv. Geom. (2003), no. suppl., S113–S118.[MR]
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  46. F. Buekenhout, P. O. Dehaye, and D. Leemans, RWPRI and (2T)1 flag-transitive linear spaces, Beiträge Algebra Geom. 44 (2003), no. 1, 25–46.[MR]
  47. F. Buekenhout and M. Hermand, On flag-transitive geometries and groups, Travaux de Mathématiques de l'Université Libre de Bruxelles 1 (1991), 45–78.
  48. F. Buekenhout and D. Leemans, On apartments in incidence geometry, preprint (2009), 17.
  49. Francis Buekenhout, Finite groups and geometries: A view on the present state and on the future, Groups of Lie Type and their Geometries (Como, 1993), London Math. Soc. Lecture Note Ser., vol. 207, Cambridge Univ. Press, Cambridge, 1995, pp. 35–42.[MR]
  50. Francis Buekenhout, All geometries for the smallest sporadic groups, Mathematisches Forschungsinstitut Oberwolfach Report No. 12/2005 (2005), 685–687.
  51. Francis Buekenhout, Philippe Cara, Michel Dehon, and Dimitri Leemans, Residually weakly primitive geometries of small sporadic and almost simple groups: a synthesis, Topics in Diagram Geometry, Quad. Mat., vol. 12, Dept. Math., Seconda Univ. Napoli, Caserta, 2003, pp. 1–27.[MR]
  52. Francis Buekenhout, Philippe Cara, and Koen Vanmeerbeek, Geometries of the group PSL(2,11), Geom. Dedicata 83 (2000), no. 1-3, 169–206.[MR]
  53. Francis Buekenhout, Michel Dehon, and Philippe Cara, Geometries of small almost simple groups based on maximal subgroups, Bull. Belg. Math. Soc. Simon Stevin (1998), no. suppl., ii+128.[MR]
  54. Francis Buekenhout, Michel Dehon, and Isabelle De Schutter, Projective injections of geometries and their affine extensions, J. Geom. 52 (1995), no. 1-2, 41–53.[MR]
  55. Francis Buekenhout, Michel Dehon, and Dimitri Leemans, All geometries of the Mathieu group M11 based on maximal subgroups, Experiment. Math. 5 (1996), no. 2, 101–110.[MR]
  56. Francis Buekenhout, Michel Dehon, and Dimitri Leemans, On flag-transitive incidence geometries of rank 6 for the Mathieu group M12, Groups and geometries (Siena, 1996), Trends Math., Birkhäuser, Basel, 1998, pp. 39–54.[MR]
  57. Francis Buekenhout, Michel Dehon, and Dimitri Leemans, An atlas of residually weakly primitive geometries for small groups, Acad. Roy. Belg. Cl. Sci. Mém. Collect. 8o (3) 14 (1999), 175.[MR]
  58. Francis Buekenhout and Dimitri Leemans, On a geometry of Ivanov and Shpectorov for the O'Nan sporadic simple group, J. Combin. Theory Ser. A 85 (1999), no. 2, 148–164.[MR]
  59. A. R. Calderbank, R. H. Hardin, E. M. Rains, P. W. Shor, and N. J. A. Sloane, A group-theoretic framework for the construction of packings in Grassmannian spaces, J. Algebraic Combin. 9 (1999), no. 2, 129–140.[MR]
  60. Alan R. Camina and Federica Spiezia, Sporadic groups and automorphisms of linear spaces, J. Combin. Des. 8 (2000), no. 5, 353–362.[MR]
  61. Philippe Cara, Exotische meetkunden van rang twee, PhD Thesis, Universite Libre De Bruxelles, 1994.
  62. Philippe Cara, An infinite family of Petersen geometries with nonlinear diagram, J. Geom. 67 (2000), no. 1-2, 73–88.[MR]
  63. Philippe Cara, RWPRI geometries for the alternating group A8, Finite Geometries, Dev. Math., vol. 3, Kluwer Acad. Publ., Dordrecht, 2001, pp. 61–97.[MR]
  64. Philippe Cara and Dimitri Leemans, The residually weakly primitive geometries of S5×2, Discrete Math. 255 (2002), no. 1-3, 35–45.[MR]
  65. Philippe Cara, Serge Lehman, and Dmitrii V. Pasechnik, On the number of inductively minimal geometries, Theoret. Comput. Sci. 263 (2001), no. 1-2, 31–35.[MR]
  66. I. Cardinali, N. Durante, T. Penttila, and R. Trombetti, Bruen chains over fields of small order, Discrete Math. 282 (2004), no. 1-3, 245–247.[MR]
  67. Marston Conder, Combinatorial and computational group-theoretic methods in the study of graphs, maps and polytopes with maximal symmetry, Jack Koolen and Jin Ho Kwak and Ming-Yao Xu, Eds. Applications of Group Theory to Combinatorics, Taylor &Francis Group, London, 2008, pp. 1–11.
  68. Marston Conder, Isabel Hubard, and Tomaž Pisanski, Constructions for chiral polytopes, J. Lond. Math. Soc. (2) 77 (2008), no. 1, 115–129.[MR]
  69. Marston Conder and Colin Maclachlan, Compact hyperbolic 4-manifolds of small volume, Proc. Amer. Math. Soc. 133 (2005), no. 8, 2469–2476 (electronic).[MR]
  70. A. Cossidente, Caps embedded in the Klein quadric, Bull. Belg. Math. Soc. Simon Stevin 7 (2000), no. 1, 13–19.[MR]
  71. A. Cossidente, C. Culbert, G. L. Ebert, and G. Marino, On m-ovoids of W3(q), Finite Fields Appl. 14 (2008), no. 1, 76–84.[MR]
  72. A. Cossidente, G. L. Ebert, and G. Korchmáros, Unitals in finite Desarguesian planes, J. Algebraic Combin. 14 (2001), no. 2, 119–125.[MR]
  73. A. Cossidente, G. L. Ebert, G. Marino, and A. Siciliano, Shult sets and translation ovoids of the Hermitian surface, Adv. Geom. 6 (2006), no. 4, 523–542.[MR]
  74. Antonio Cossidente, Gary L. Ebert, and Giuseppe Marino, A complete span of H(4,4) admitting PSL2(11) and related structures, Contrib. Discrete Math. 3 (2008), no. 1, 52–57.[MR]
  75. Antonio Cossidente and Tim Penttila, Hemisystems on the Hermitian surface, J. London Math. Soc. (2) 72 (2005), no. 3, 731–741.[MR]
  76. Antonio Cossidente and Tim Penttila, On m-regular systems on H(5,q2), J. Algebraic Combin. 29 (2009), no. 4, 437–445.[MR]
  77. Antonio Cossidente and Marialuisa J. de Resmini, The transitive and co-transitive blocking sets in P2(Fq), Contrib. Discrete Math. 3 (2008), no. 1, 47–51.[MR]
  78. Antonio Cossidente and Angelo Sonnino, Finite geometry and the Gale transform, Discrete Math. 310 (2010), no. 22, 3206–3210.[MR/doi]
  79. Antonio Cossidente and Sam K. J. Vereecke, Some geometry of the isomorphism Sp(4,q)≅O(5,q), q even, J. Geom. 70 (2001), no. 1-2, 28–37.[MR]
  80. Patricia Vanden Cruyce, Géométries des groupes PSL(2,q), PhD Thesis, Université Libre de Bruxelles, 1985.
  81. Craig Culbert and Gary L. Ebert, Circle geometry and three-dimensional subregular translation planes, Innov. Incidence Geom. 1 (2005), 3–18.[MR]
  82. Jennifer R. Daniel and Aloysius G. Helminck, Computing the fine structure of real reductive symmetric spaces, J. Symbolic Comput. 42 (2007), no. 5, 497–510.[MR]
  83. Jennifer R. Daniel and Aloysius G. Helminck, Algorithms for computations in local symmetric spaces, Comm. Algebra 36 (2008), no. 5, 1758–1788.[MR]
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  85. Michel Dehon, Classifying geometries with Cayley, J. Symbolic Comput. 17 (1994), no. 3, 259–276.[MR]
  86. Michel Dehon and Dimitri Leemans, Constructing coset geometries with Magma: An application to the sporadic groups M12 and J1, Atti Sem. Mat. Fis. Univ. Modena 50 (2002), no. 2, 415–427.[MR]
  87. Alice Devillers, Classification of Some Homogenous and Ultrahomogenous Structures, PhD Thesis, Université Libre de Bruxelles, 2002.
  88. Alice Devillers, A classification of finite partial linear spaces with a primitive rank 3 automorphism group of almost simple type, Innov. Incidence Geom. 2 (2005), 129–175.[MR]
  89. Cunsheng Ding, Zeying Wang, and Qing Xiang, Skew Hadamard difference sets from the Ree-Tits slice symplectic spreads in PG(3,32h+1), J. Combin. Theory Ser. A 114 (2007), no. 5, 867–887.[MR/arXiv]
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  93. J. S. Dowker and Peter Chang, Analytic torsion on spherical factors and tessellations, preprint 2009, 28 pages.[arXiv]
  94. Sean V. Droms, Keith E. Mellinger, and Chris Meyer, LDPC codes generated by conics in the classical projective plane, Des. Codes Cryptogr. 40 (2006), no. 3, 343–356.[MR]
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  98. G. L. Ebert, Buekenhout-Tits unitals, J. Algebraic Combin. 6 (1997), no. 2, 133–140.[MR]
  99. G. L. Ebert, Replaceable nests, Mostly finite geometries (Iowa City, IA, 1996), Lecture Notes in Pure and Appl. Math., vol. 190, Dekker, New York, 1997, pp. 35–49.[MR]
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  106. Rohit Ghosh, Incompleteness of the Giulietti-Ughi arc for large primes, Discrete Math. 308 (2008), no. 17, 3824–3835.[MR]
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  112. Harald Gottschalk and Dimitri Leemans, The residually weakly primitive geometries of the Janko group J1, Groups and Geometries (Siena, 1996), Trends Math., Birkhäuser, Basel, 1998, pp. 65–79.[MR]
  113. Harald Gottschalk and Dimitri Leemans, Geometries for the group PSL(3,4), European J. Combin. 24 (2003), no. 3, 267–291.[MR]
  114. Gerhard Grams and Thomas Meixner, Some results about flag transitive diagram geometries using coset enumeration, Ars Combin. 36 (1993), 129–146.[MR]
  115. Markus Grassl, Computing equiangular lines in complex space, Mathematical Methods in Computer Science, Lecture Notes in Comput. Sci., vol. 5393, 2008, pp. 89-104.
  116. Michael I. Hartley, Polytopes of finite type, Discrete Math. 218 (2000), no. 1-3, 97–108.[MR]
  117. Michael I. Hartley and Dimitri Leemans, Quotients of a universal locally projective polytope of type {5,3,5}, Math. Z. 247 (2004), no. 4, 663–674.[MR]
  118. Michael Ian Hartley and Dimitri Leemans, On the thin regular geometries of rank four for the Janko group J1, Innov. Incidence Geom. 1 (2005), 181–190.[MR]
  119. Michael I. Hartley and Dimitri Leemans, A new Petrie-like construction for abstract polytopes, J. Combin. Theory Ser. A 115 (2008), no. 6, 997–1007.[MR]
  120. G. Havas, C. R. Leedham-Green, E. A. O'Brien, and M. C. Slattery, Certain Roman and flock generalized quadrangles have nonisomorphic elation groups, Adv. Geom. 6 (2006), no. 3, 389–395.[MR]
  121. George Havas, C. R. Leedham-Green, E. A. O'Brien, and Michael C. Slattery, Computing with elation groups, Finite Geometries, Groups, and Computation, Walter de Gruyter GmbH &Co. KG, Berlin, 2006, pp. 95–102.[MR]
  122. M. Hermand, Géométries, language Cayley et groupe de Hall-Janko, PhD Thesis, Université Libre de Bruxelles, 1991.
  123. Isabel Hubard, Alen Orbanić, and Asia Ivić Weiss, Monodromy groups and self-invariance, Canad. J. Math. 61 (2009), no. 6, 1300–1324.[MR/link]
  124. Pascale Jacobs and Dimitri Leemans, An algorithmic analysis of the intersection property, LMS J. Comput. Math. 7 (2004), 284–299 (electronic).[MR]
  125. 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]
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  129. J. D. Key, Codes and finite geometries, in Proceedings of the Twenty-ninth Southeastern International Conference on Combinatorics, Graph Theory and Computing (Boca Raton, FL, 1998), vol. 131, 1998, pp. 85–99.[MR]
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  143. Maska Law, Flocks, generalised quadrangles and translation planes from BLT-sets, PhD Thesis, University of Western Australia, 2003.
  144. Maska Law and Tim Penttila, Classification of flocks of the quadratic cone over fields of order at most 29, Adv. Geom. 3 (2003), no. Special Issue, S232–S244.[MR]
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  147. Dimitri Leemans, Contribution á l'élaboration d'un Atlas de géométries: Volumes I and II, PhD Thesis, Universite Libre De Bruxelles, 1994.
  148. Dimitri Leemans, Classification of RWPRI Geometries for the Suzuki Simple Groups, PhD Thesis, Université Libre de Bruxeelles, 1998.
  149. Dimitri Leemans, The rank 2 geometries of the simple Suzuki groups Sz(q), Beiträge Algebra Geom. 39 (1998), no. 1, 97–120.[MR]
  150. Dimitri Leemans, Thin geometries for the Suzuki simple group Sz(8), Bull. Belg. Math. Soc. Simon Stevin 5 (1998), no. 2-3, 373–387.[MR]
  151. Dimitri Leemans, An atlas of regular thin geometries for small groups, Math. Comp. 68 (1999), no. 228, 1631–1647.[MR]
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