The primitive permutation groups of certain degrees

Journal of Pure and Applied Algebra

Volumn 115, Issue 3, 1997, Pages 275-287

  Li, Cai Heng ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031567065     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0022-4049(96)00010-2     Document Type: Article

References (28)

1. [1] M. Aschbacher, On the maximal subgroups of the finite classical groups, Invent. Math. 76 (1984) 469-512.
2. [2] M. Aschbacher, Overgroups of Sylow Subgroups in Sporadic Groups, Mem. AMS 60 (343) (1986).
3. [3] J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker and R.A. Wilson, Atlas of Finite Groups (Oxford University Press, Oxford, 1985).
4. n), J. Algebra 70 (1981) 23-36.
5. [5] J.D. Dixon and B. Mortimer, The primitive permutation groups of degree less than 1000, Math. Proc. Camb. Phil. Soc. 103 (1988) 213-238.
6. [6] A. Gardiner and C.E. Praeger, Transitive permutation groups with bounded movement, J. Algebra 168 (1994) 798-803.
7. [7] D. Gorenstein, Finite Simple Groups (Plenum Press, New York, 1982).
8. [8] R.M. Guralnick, Subgroups of prime power index in a simple group, J. Algebra 81 (1983) 304-311.
9. [9] B. Huppert and N. Blackburn, Finite Groups II (Springer, Berlin, 1982).
10. [10] P.B. Kleidman, Ph.D. Thesis, Trinity College, Cambridge, 1985.
11. 2(q) and their automorphism groups, J. Algebra 117 (1988) 30-71.
12. 8(q) and their automorphism groups, J. Algebra 110 (1987) 173-242.
13. 4(q) and their automorphism groups, J. Algebra 115 (1988) 182-199.
14. [14] P.B. Kleidman and M.W. Liebeck, The Subgroup Structure of the Classical Groups, London Math. Soc. Lecture Note Series 129 (Cambridge University Press, Cambridge, 1990).
15. 23 J. London Math. Soc. (2) 39 (1989) 89-101.
16. 4, Proc. London Math. Soc. (3) 56 (1988) 484-510.
17. [17] M.W. Liebeck, On the orders of maximal subgroups of the finite classical groups, Proc. London Math. Soc. 50 (1985) 426-446.
18. [18] M.W. Liebeck, C.E. Praeger and J. Saxl, On the O'Nan-Scott theorem for finite primitive permutation groups, J. Austral. Math. Soc. (A) 44 (1988) 389-396.
19. [19] M.W. Liebeck, C.E. Praeger and J. Saxl, The Maximal Factorizations of the Finite Simple Groups and their Automorphism Groups, Mem. AMS 86 (432) (1990).
20. [20] M.W. Liebeck and J. Saxl, The primitive permutation groups of odd degree, J. London Math. Soc. (2) 31 (1985) 250-264.
21. [21] M.W. Liebeck and J. Saxl, Primitive permutation groups containing an element of larger prime order, J. London Math. Soc. (2) 31 (1985) 137-149.
22. [22] M.W. Liebeck and J. Saxl, On the orders of maximal subgroups of the finite exceptional groups of Lie type, J. London Math. Soc. (3) 55 (1987) 299-330.
23. 2), J. Algebra 139 (1991) 52-69.
24. [24] C.E. Praeger, On permutation groups with bounded movement, J. Algebra 144 (1991) 436-442.
25. 4-groups, Science Sinica 17 (1991) 1281-1283.
26. [26] C.C. Sims, Computational methods for permutation groups, in: J. Leech, Ed., Computational Problems in Abstract Algebra (Pergamon, Oxford, 1970) 169-183.
27. [27] M. Suzuki, Group Theory I (Springer, New York, 1982).
28. [28] S.W. Tan and J. Wang, The primitive permutation groups of degree 21 to 30, Beijing Daxue Xuebao (Chinese) 24 (1988) 269-276.