On Coleman Automorphisms of Finite Nilpotent Groups by Cyclic Groups

被引：0

作者：

Jin Ke HAI ^{[1
]}

Sheng Bo GE ^{[1
]}

机构：

[1] College of Mathematics and Statistics,Qingdao University

来源：

Acta Mathematica Sinica,English Series | 2016年 / 12期

基金：

中国国家自然科学基金;

关键词：

Coleman automorphism; the normalizer property; nilpotent group;

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 be a finite group and let N be a nilpotent normal subgroup of G such that G/N is cyclic.It is shown that under some conditions all Coleman automorphisms of G are inner.Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.

引用

页码：1459 / 1464

页数：6

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