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The simple groups related to M24, II

Published online by Cambridge University Press:  09 April 2009

Dieter Held
Dieter Held
Affiliation:
Department of Mathematics University of Mainz 6500 Mainz Germany
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The objective of this paper is to prove the following generalization of the main result in [2]: THeorem. Let G be a finite simple group which possesses an involution t such that the centralizer of t in G is isomorphic to the centralizer of an involution in H. Then G is isomorphic to L5(2), M24, or H.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 1 , August 1973 , pp. 24 - 28
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Deckers, M., ‘Simple groups having centralizers of involutions isomorphic to those in He’, Archiv Math. (To appear).Google Scholar
[2]Held, D., ‘The simple groups related to M24’, J. Algebra 13 (1969), 253–296.CrossRefGoogle Scholar
[3]Schoenwaelder, U., ‘Finite groups with a Sylow 2-subgroup of type M24’, J. Algebra (To appear).Google Scholar