Normalizer property of finite groups with almost simple subgroups

Normalizer property of finite groups with almost simple subgroups

In this paper, we prove that all Coleman automorphisms of extension of an almost simple group by an abelian group or a simple group are inner. Using our methods we also show that the Coleman automorphisms of 2-power order of an odd order group by an almost simple group are inner. In particular, thes...

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Bibliographic Details
Main Authors: Jingjing Hai, Xian Ling
Format: Article
Language:English
Published: AIMS Press 2022-09-01
Series:Electronic Research Archive
Subjects:
almost simple group
simple group
coleman automorphism
q-central automorphism
normalizer property
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022215?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2022215?viewType=HTML

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