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Automorphisms fixing every subnormal subgroup of a finite group

Published online by Cambridge University Press:  18 May 2009

John Cossey
John Cossey
Affiliation:
Mathematics Department, School of Mathematical Sciences, Australian National University, Canberra 0200, Australia
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We denote by Autsn(G) the set of all automorphisms that fix every subnormal subgroup of G setwise. In a recent paper [7] Robinson showed that the structure of Autsn(G) is quite restricted for a finite group G. Our aim in this paper is to show that more detailed information about the structure of Autsn(G) can be obtained by focussing on its action on F*(G), the generalised Fitting subgroup of G.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 1 , January 1997 , pp. 111 - 114
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

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