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Abstract
The aim of this paper is to investigate the influence of intrinsic properties of maximal subgroups on Coleman automorphisms of finite groups G. Let M be a maximal subgroup of G. It is proved that if M is simple then Out Col ( G ) = 1 . It is also proved that either Out Col ( G ) is trivial or Out Col ( G ) is an abelian p-group for some prime p provided that M has a unique nontrivial proper normal subgroup. As an application, it is obtained that under some additional conditions the normalizer property holds for such groups.
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