Coleman Automorphisms of Holomorphs of Finite Abelian Groups

被引：0

作者：

Zheng Xing LI ^{[1
]}

Jin Ke HAI ^{[1
]}

机构：

[1] College of Mathematics,Qingdao University

来源：

Acta Mathematica Sinica,English Series | 2014年 / 30卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Coleman automorphism; integral group ring; the 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 K be a finite abelian group and let H be the holomorph of K.It is shown that every Coleman automorphism of H is an inner automorphism.As an immediate consequence of this result,it is obtained that the normalizer property holds for H.

引用

页码：1549 / 1554

页数：6

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