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The normalizer property for integral group rings of holomorphs of finite groups with trivial center. (English) Zbl 07189508
Summary: Let $$G = \text{Hol}(H)$$ be the holomorph of a finite group $$H$$. If there is a prime $$q$$ dividing $$| H |$$ such that every $$q$$-central automorphism of $$H$$ is inner and $$Z(H) = 1$$, then every Coleman automorphism of $$G$$ is inner. In particular, the normalizer property holds for $$G$$.
##### MSC:
 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 16S34 Group rings 20C10 Integral representations of finite groups
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##### References:
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