Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-19T11:47:36.458Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Part of: Permutation groups

Published online by Cambridge University Press:  09 April 2009

Martin W. Liebeck ,
Cheryl E. Praeger  and
Jan Saxl
Martin W. Liebeck
Affiliation:
Department of MathematicsImperial CollegeLondon SW7 2BZ United Kingdom
Cheryl E. Praeger
Affiliation:
Department of MathematicsUniversity of Western AustraliaNedlands WA 6009, Australia
Jan Saxl
Affiliation:
addr-lineDepartment of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridge CB2 1SB United Kingdom
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

MSC classification

Secondary: 20B05: General theory for finite groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 44 , Issue 3 , June 1988 , pp. 389 - 396
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Aschbacher, M. and Scott, L., ‘Maximal subgroups of finite groups’, J. Algebra 92 (1985) 44–80.CrossRefGoogle Scholar
[2]Cameron, P. J., ‘Finite permutation groups and finite simple groups’, Bull. London Math. Soc. 13 (1981), 1–22.CrossRefGoogle Scholar
[3]Kovács, L. G., ‘Maximal subgroups in composite finite groups’, J. Algebra 99 (1986), 114–131.CrossRefGoogle Scholar
[4]Kovács, L. G., ‘Primitive permutaion groups of simple diagonal type’, ANU-MSRG Research Report 12, 1987.Google Scholar
[5]Kovács, L. G., Praeger, C. E. and Saxl, J., ‘On the reduction theorem for primitive permutaion groups’, in preparation.Google Scholar
[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.Google Scholar
[7]Neumann, B. H., ‘Twisted wreath products of groups’, Arch. Math. 14 (1963), 1–6.CrossRefGoogle Scholar
[8]Praeger, C. E., Saxi, J. and Yokoyama, K., ‘Distance transitive graphs and finite simple groups’, Proc. London Math. Soc. (3) 55 (1987), 1–21.CrossRefGoogle Scholar
[9]Scott, L. L., ‘Reprepsentations in characteristic p’, Santa Cruz conference on finite groups, pp. 318–331, Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, R.I., 1980.Google Scholar
[10]Suzuki, M., Group theory I (Springer, Berlin-Heidelberg-New York, 1982).CrossRefGoogle Scholar