The Normalizer Property for Integral Group Rings of Holomorphs of Finite Groups with Trivial Center

被引：0

作者：

Jin Ke HAI ^{[1
]}

Yi Xin ZHU ^{[2
]}

机构：

[1] College of Mathematics and Statistics, Qingdao University

[2] School of Mathematical Sciences, Capital Normal University

来源：

Acta Mathematica Sinica,English Series | 2020年 / 36卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Coleman automorphisms; characteristically simple group; normalizer property;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

070104 ;

摘要：

Let G=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.

引用

页码：401 / 406

页数：6

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