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On class-preserving Coleman automorphisms of semidirect products of finite nilpotent groups by finite groups. (English) Zbl 1399.20038
Summary: Let \(G\) be a semidirect product of a finite nilpotent group by a finite group. It is shown that under some conditions class-preserving Coleman automorphisms of 2-power order of \(G\) are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.

20D45 Automorphisms of abstract finite groups
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
20D40 Products of subgroups of abstract finite groups
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