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Automorphisms fixing every subnormal subgroup of a finite group
Published online by Cambridge University Press: 18 May 2009
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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.
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- Copyright © Glasgow Mathematical Journal Trust 1997
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