On primitive representations of finite alternating and symmetric groups with a 2-transitive subconstituent

Journal of Algebra

Volumn 180, Issue 3, 1996, Pages 808-833

  Praeger, Cheryl E ^a   Wang, Jie ^b  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584518     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0094     Document Type: Article

References (31)

1. 1. M. Aschbacher, On the maximal subgroups of the finite classical groups, Invent. Math. 76 (1984), 469-514.
2. 2. R. Baddeley, Two-arc transitive graphs and twisted wreath products, J. Algebraic Combin. 2 (1993), 215-237.
3. 3. P. J. Cameron, Permutation groups with multiply transitive suborbits I, Proc. London Math. Soc. (3) 25 (1972), 427-440.
4. 4. P. J. Cameron, Permutation groups with multiply transitive suborbits II, Bull. London Math. Soc. 6 (1974), 1-5.
5. 5. P. J. Cameron, Finite permutation groups and finite simple groups, Bull. London Math. Soc. 13 (1981), 1-22.
6. 6. P. J. Cameron and C. E. Praeger, Graphs and permutation groups with projective subconstituents, J. London Math. Soc. (2) 25 (1982), 62-74.
7. 7. J. J. Cannon, An introduction on the group theory language Cayley, in "Computational Group Theory" (M. Atkinson, Ed.), pp. 145-183, Academic Press, New York, 1982.
8. 8. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, "Atlas of Finite Groups," Clarendon Press, Oxford, 1985.
9. 9. J. Dieudonné, On the automorphisms of the classical groups (with a supplement by Loo-keng Hua), Mem. Amer. Math. Soc. 2 (1951), 1-122.
10. 10. D. Gorenstein, "Finite Simple Groups: An Introduction to their Classification," Plenum, New York, 1982.
11. 11. B. Huppert, "Endliche Gruppen I," Springer-Verlag, Berlin, 1967.
12. 12. A. A. Ivanov and C. E. Praeger, On finite affine 2-arc transitive graphs, European J. Combin. 14 (1993), 421-444.
13. 13. W. Knapp, On the point stabilizer in a primitive permutation group, Math. Z. 133 (1973), 137-168.
14. 14. M. W. Liebeck, The affine permutation groups of rank three, Proc. London Math. Soc. (3) 54 (1987), 477-516.
15. 15. M. W. Liebeck, C. E. Praeger, and J. Saxl, A classification of the maximal subgroups of the finite alternating and symmetric groups, J. Algebra 111 (1987), 365-383.
16. 16. M. W. Liebeck, C. E. Praeger, and J. Saxl, On the O'Nan-Scott theorem for finite primitive permutation groups, J. Austral. Math. Soc. Ser. A 44 (1988), 389-396.
17. 17. E. Maillet, Sur les isomorphes holoédriques et transitifs des groupes symétriques ou alternés, J. Math. Pures Appl. (5) 1 (1895), 5-34.
18. 18. W. A. Manning, Simply transitive primitive groups, Trans. Amer. Math. Soc. 29 (1927), 815-825.
19. 19. W. A. Manning, A theorem concerning simply transitive primitive groups, Bull. Amer. Math. Soc. 35 (1929), 330-332.
20. 20. M. Morton, M. Conder, and C. E. Praeger, Partition graphs for finite symmetric groups, preprint, 1995.
21. 21. C. E. Praeger, On primitive permutation groups with a doubly transitive suborbit, J. London Math. Soc. (2) 17 (1978), 67-73.
22. 22. C. E. Praeger, Primitive permutation groups and a characterization of the odd graphs, J. Combin. Theory Ser. B 31 (1981), 117-142.
23. 23. C. E. Praeger, Primitive permutation groups with a doubly transitive subconstituent, J. Austral. Math. Soc. Ser. A 45 (1988), 66-77.
24. 24. W. L. Quirin, Primitive permutation groups with small Orbitals, Math. Z. 122 (1971), 267-274.
25. 25. S. Tang and J. Wang, Primitive permutation groups of degree 21 to 30, Beijing Daxue Xuebao 24 (1988), 269-276.
26. 26. M. Suzuki, "Group Theory II," Springer-Verlag, Berlin, 1986.
27. 27. J. Wang, The primitive permutation groups with an orbital of length 4, Comm. Algebra 20 (1992), 889-921.
28. 28. J. Wang, Primitive permutation groups with a sharply 2-transitive subconstituent of prime degree, Comm. Algebra 20 (1992), 923-941.
29. 29. J. Wang, Primitive permutation groups with a sharply 2-transitive subconstituent, J. Algebra 176 (1995), 702-734.
30. 30. H. Wielandt, "Finite Permutation Groups," Academic Press, New York, 1964.
31. 31. W. J. Wong, Determination of a class of primitive permutation groups, Math. Z. 99 (1967), 235-246.