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On the O'Nan-Scott theorem for finite primitive permutation groups

  • Martin W. Liebeck (a1), Cheryl E. Praeger (a2) and Jan Saxl (a3)
Abstract

We give a self-contained proof of the O'Nan-Scott Theorem for finite primitive permutation groups.

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References
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[1]Aschbacher, M. and Scott, L., ‘Maximal subgroups of finite groups’, J. Algebra 92 (1985) 4480.
[2]Cameron, P. J., ‘Finite permutation groups and finite simple groups’, Bull. London Math. Soc. 13 (1981), 122.
[3]Kovács, L. G., ‘Maximal subgroups in composite finite groups’, J. Algebra 99 (1986), 114131.
[4]Kovács, L. G., ‘Primitive permutaion groups of simple diagonal type’, ANU-MSRG Research Report 12, 1987.
[5]Kovács, L. G., Praeger, C. E. and Saxl, J., ‘On the reduction theorem for primitive permutaion groups’, in preparation.
[6]Liebeck, M. W., Praeger, C. E. and Saxi, J., ‘A classification of the maximal subgroups of the finite alternating and symmetric groups’, J. Algebra, to appear.
[7]Neumann, B. H., ‘Twisted wreath products of groups’, Arch. Math. 14 (1963), 16.
[8]Praeger, C. E., Saxi, J. and Yokoyama, K., ‘Distance transitive graphs and finite simple groups’, Proc. London Math. Soc. (3) 55 (1987), 121.
[9]Scott, L. L., ‘Reprepsentations in characteristic p’, Santa Cruz conference on finite groups, pp. 318331, Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, R.I., 1980.
[10]Suzuki, M., Group theory I (Springer, Berlin-Heidelberg-New York, 1982).
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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