Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T15:46:27.888Z Has data issue: false hasContentIssue false
  • English
  • Français

Some subgroups of the Thompson group

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Robert A. Wilson
Robert A. Wilson
Affiliation:
Department of Pure Mathematics and Mathematical Statistics University of Cambridge16 Mill Lane Cambridge CB2 1SB, England
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 determine all conjugacy classes of maximal local subgroups of Thompson's sporadic simple group, and all maximal non-local subgroups except those with socle isomorphic to one of five particular small simple groups.

MSC classification

Secondary: 20D08: Simple groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 44 , Issue 1 , February 1988 , pp. 17 - 32
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A., An ATLAS of finite groups, (Oxford Univ. Press, 1985).Google Scholar
[2]Smith, P. E., On certain finite simple groups, (Ph.D. thesis, Cambridge, 1975).Google Scholar
[3]Wilson, R. A., ‘The odd-local subgroups of the Monster’, J. Austral. Math. Soc. 44 (1988), 1–16.CrossRefGoogle Scholar