On Coleman automorphisms of wreath products of finite nilpotent groups by abelian groups

被引：3

作者：

Hai JinKe ^{[1
]}

Li ZhengXing ^{[1
]}

机构：

[1] Qingdao Univ, Coll Math, Qingdao 266071, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2011年 / 54卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Coleman automorphisms; wreath products; the normalizer problem; INTEGRAL GROUP-RINGS; CLASS-PRESERVING AUTOMORPHISMS; NORMALIZER PROPERTY;

D O I：

10.1007/s11425-011-4298-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G = NwrA be a wreath product of a finite nilpotent group N by an abelian group A. It is shown that every Coleman automorphism of G is an inner automorphism. As an immediate consequence of this result, it is obtained that the normalizer property holds for G.

引用

页码：2253 / 2257

页数：5

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