Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups

被引：2

作者：

Hai, Jinke ^{[1
]}

Zhao, Lele ^{[1
]}

机构：

[1] Qingdao Univ, Coll Math & Stat, Qingdao 266071, Shandong, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2021年 / 28卷 / 04期

基金：

中国国家自然科学基金;

关键词：

characteristically simple group; Coleman automorphism; normalizer property;

D O I：

10.1142/S1005386721000444

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be an extension of a finite characteristically simple group by an abelian group or a finite simple group. It is shown that every Coleman automorphism of G is an inner automorphism. Interest in such automorphisms arises from the study of the normalizer problem for integral group rings.

引用

页码：561 / 568

页数：8

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