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Mathematics Research Report MRR95-047

Automorphisms Fixing Every Subnormal Subgroup Of A Finite Group

John Cossey

Abstract: In a recent paper DJS Robinson has shown that the structure of the group of automorphisms that fix the subnormal subgroups of a finite group setwise is very restricted. In this paper we show that by focussing on the action of these automorphisms on the generalised Fitting subgroup, further restrictions can be placed on its structure.


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