On Coleman automorphisms of finite nilpotent groups by cyclic groups

被引：0

作者：

Jin Ke Hai

Sheng Bo Ge

机构：

[1] Qingdao University,College of Mathematics and Statistics

来源：

Acta Mathematica Sinica, English Series | 2016年 / 32卷

关键词：

Coleman automorphism; the normalizer property; nilpotent group; 20E36; 16S34; 20C05;

D O I：

暂无

中图分类号：

学科分类号：

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：5

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