Permutation Groups
- Edith Adan-Bante and Helena Verrill, Symmetric groups and conjugacy classes, J. Group Theory 11 (2008), no. 3, 371–379.[MR]
- 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]
- C. Bates, D. Bundy, Sarah B. Perkins, and P. Rowley, Commuting involution graphs for symmetric groups, J. Algebra 266 (2003), no. 1, 133–153.[MR]
- John van Bon and Arjeh M. Cohen, Linear groups and distance-transitive graphs, European J. Combin. 10 (1989), no. 5, 399–411.[MR]
- Arrigo Bonisoli and Pasquale Quattrocchi, Each invertible sharply d-transitive finite permutation set with d ≥ 4 is a group, J. Algebraic Combin. 12 (2000), no. 3, 241–250.[MR]
- Nigel Boston, Walter Dabrowski, Tuval Foguel, and others, The proportion of fixed-point-free elements of a transitive permutation group, Comm. Algebra 21 (1993), no. 9, 3259–3275.[MR]
- F. Buekenhout, A. Delandtsheer, and J. Doyen, Finite linear spaces with flag-transitive groups, J. Combin. Theory Ser. A 49 (1988), no. 2, 268–293.[MR]
- Francis Buekenhout and Dimitri Leemans, On the list of finite primitive permutation groups of degree ≤ 50, J. Symbolic Comput. 22 (1996), no. 2, 215–225.[MR]
- David M. Bundy and Peter J. Rowley, Symmetric groups and completions of the Goldschmidt amalgams of type G1, J. Group Theory 9 (2006), no. 5, 627–640.[MR]
- Timothy C. Burness, Michael Giudici, and Robert A. Wilson, Prime order derangements in primitive permutation groups, Preprint (2010), 21 pages.
- Greg Butler, The transitive groups of degree fourteen and fifteen, J. Symbolic Comput. 16 (1993), no. 5, 413–422.[MR]
- Peter J. Cameron, Permutation Groups, London Mathematical Society Student Texts, vol. 45, Cambridge University Press, Cambridge, 1999, pp. x+220.[MR]
- Peter J. Cameron, Partitions and permutations, Discrete Math. 291 (2005), no. 1-3, 45–54.[MR]
- Peter J. Cameron, Michael Giudici, Gareth A. Jones, William M. Kantor, Mikhail H. Klin, Dragan Marušič, and Lewis A. Nowitz, Transitive permutation groups without semiregular subgroups, J. London Math. Soc. (2) 66 (2002), no. 2, 325–333.[MR]
- A. R. Camina and L. Di Martino, The group of automorphisms of a transitive 2-(91,6,1) design, Geom. Dedicata 31 (1989), no. 2, 151–164.[MR]
- Alan R. Camina and Federica Spiezia, Sporadic groups and automorphisms of linear spaces, J. Combin. Des. 8 (2000), no. 5, 353–362.[MR]
- John J. Cannon and Derek F. Holt, The transitive permutation groups of degree 32, Experiment. Math. 17 (2008), no. 3, 307–314.[MR]
- Marston Conder, Generators for alternating and symmetric groups, J. London Math. Soc. (2) 22 (1980), no. 1, 75–86.[MR]
- Marston Conder, More on generators for alternating and symmetric groups, Quart. J. Math. Oxford Ser. (2) 32 (1981), no. 126, 137–163.[MR]
- Marston Conder, On the group of Rubik's "magic" cube, Bull. Inst. Math. Appl. 17 (1981), no. 11-12, 241–243.[MR]
- Marston Conder, The symmetric genus of alternating and symmetric groups, J. Combin. Theory Ser. B 39 (1985), no. 2, 179–186.[MR]
- Marston Conder, Experimental algebra, Math. Chronicle 20 (1991), 1–11.[MR]
- Marston Conder, Generating the Mathieu groups and associated Steiner systems, Discrete Math. 112 (1993), no. 1-3, 41–47.[MR]
- Marston Conder, Group actions on graphs, maps and surfaces with maximum symmetry, Groups St. Andrews 2001 in Oxford. Vol. I, London Math. Soc. Lecture Note Ser., vol. 304, Cambridge Univ. Press, Cambridge, 2003, pp. 63–91.[MR]
- 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.
- Marston Conder and Vaughan Jones, Highly transitive imprimitivities, J. Algebra 300 (2006), no. 1, 44–56.[MR]
- Marston Conder, Primož Potočnik, and Jozef Širáň, Regular hypermaps over projective linear groups, J. Aust. Math. Soc. 85 (2008), 155–175 pages.
- John H. Conway, Alexander Hulpke, and John McKay, On transitive permutation groups, LMS J. Comput. Math. 1 (1998), 1–8 (electronic).[MR]
- Hannah J. Coutts, Martyn Quick, and Colva M. Roney-Dougal, The primitive permutation groups of degree less than 4096, Preprint (2010), 1–23.
- Robert T. Curtis, A fresh approach to the exceptional automorphism and covers of the symmetric groups, Arab. J. Sci. Eng. Sect. A Sci. 27 (2002), no. 1, 93–107.[MR]
- A. Delgado and R. Weiss, On certain coverings of generalized polygons, Bull. London Math. Soc. 21 (1989), no. 3, 235–242.[MR]
- Alice Devillers and Michael Giudici, Involution graphs where the product of two adjacent vertices has order three, J. Aust. Math. Soc. 85 (2008), no. 3, 305–322.
- Ben Elias, Lior Silberman, and Ramin Takloo-Bighash, Minimal permutation representations of nilpotent groups, Experiment. Math. 19 (2010), no. 1, 121–128.[link]
- Ben Fairbairn, Improved upper bounds on the spreads of some large sporadic groups, preprint (2009), 11 pages.[arXiv]
- Derek F. Holt and Jacqueline Walton, Representing the quotient groups of a finite permutation group, J. Algebra 248 (2002), no. 1, 307–333.[MR]
- Alexander Hulpke, Constructing transitive permutation groups, J. Symbolic Comput. 39 (2005), no. 1, 1–30.[MR]
- William M. Kantor and Tim Penttila, Reconstructing simple group actions, Geometric Group Theory Down Under (Canberra, 1996), de Gruyter, Berlin, 1999, pp. 147–180.[MR]
- Jennifer D. Key and Johannes Siemons, Closure properties of the special linear groups, Ars Combin. 22 (1986), 107–117.[MR]
- Jennifer D. Key and Johannes Siemons, On the k-closure of finite linear groups, Boll. Un. Mat. Ital. B (7) 1 (1987), no. 1, 31–55.[MR]
- Dimitri Leemans, Two nearly isomorphic groups, Atti Sem. Mat. Fis. Univ. Modena 45 (1997), no. 2, 373–376.[MR]
- Cai Heng Li, Zai Ping Lu, and Dragan Marušič, On primitive permutation groups with small suborbits and their orbital graphs, J. Algebra 279 (2004), no. 2, 749–770.[MR]
- A. M. Macbeath, Superimprimitive 2-generator finite groups, Proc. Edinburgh Math. Soc. (2) 30 (1987), no. 1, 103–113.[MR]
- Steve Medvedoff and Kent Morrison, Groups of perfect shuffles, Math. Mag. 60 (1987), no. 1, 3–14.[MR]
- Torsten Minkwitz, An algorithm for solving the factorization problem in permutation groups, J. Symbolic Comput. 26 (1998), no. 1, 89–95.[MR]
- Alen Orbanić, F-actions and parallel-product decomposition of reflexible maps, J. Algebraic Combin. 26 (2007), no. 4, 507–527.[MR]
- Geoffrey Pearce, Examples of rank 3 product action transitive decompositions, Des. Codes Cryptogr. 47 (2008), no. 1-3, 289–303.[MR]
- Wilhelm Plesken, Counting with groups and rings, J. Reine Angew. Math. 334 (1982), 40–68.[MR]
- Cheryl E. Praeger and Leonard H. Soicher, Low Rank Representations and Graphs for Sporadic Groups, Australian Mathematical Society Lecture Series, vol. 8, Cambridge University Press, Cambridge, 1997, pp. xii+141.[MR]
- Colva M. Roney-Dougal, The primitive permutation groups of degree less than 2500, J. Algebra 292 (2005), no. 1, 154–183.[MR]
- Colva M. Roney-Dougal and William R. Unger, The affine primitive permutation groups of degree less than 1000, J. Symbolic Comput. 35 (2003), no. 4, 421–439.[MR]
- Gordon F. Royle, The transitive groups of degree twelve, J. Symbolic Comput. 4 (1987), no. 2, 255–268.[MR]
- Gordon F. Royle and Cheryl E. Praeger, Constructing the vertex-transitive graphs of order 24, J. Symbolic Comput. 8 (1989), no. 4, 309–326.[MR]
- Neil Saunders, Minimal faithful permutation degrees for irreducible Coxeter groups, preprint (2008), 11 pages.[arXiv]
- Ákos Seress, Permutation Group Algorithms, Cambridge Tracts in Mathematics, vol. 152, Cambridge University Press, Cambridge, 2003, pp. x+264.[MR]
- Ákos Seress, A unified approach to computations with permutation and matrix groups, International Congress of Mathematicians. Vol. II, Eur. Math. Soc., Zürich, 2006, pp. 245–258.[MR]
- Richard Weiss, A characterization of the group \hat M12, in Proceedings of the Conference on Groups and Geometry, Part B (Madison, Wis., 1985), Algebras, Groups and Geometries, vol. 2,4, 1985, pp. 555–563.[MR]