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.
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页码：561 / 568
页数：8
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