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Coleman automorphisms of finite groups with a self-centralizing normal subgroup

Jinke Hai — 2020

Czechoslovak Mathematical Journal

Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G} (N) \leq N$ . It is shown that under some conditions, Coleman automorphisms of $G$ are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.

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