COLEMAN AUTOMORPHISMS OF STANDARD WREATH PRODUCTS OF NILPOTENT GROUPS BY GROUPS WITH PRESCRIBED SYLOW 2-SUBGROUPS

被引：3

作者：

Li, Zhengxing ^{[1
]}

Hai, Jinke ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Coleman automorphism; standard wreath product; integral group ring; INTEGRAL GROUP-RINGS; CLASS-PRESERVING AUTOMORPHISMS; NORMALIZER PROPERTY;

D O I：

10.1142/S0219498813501569

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G = NwrH be the standard wreath product of N by H, where N is a finite nilpotent group and H is a finite group whose Sylow 2-subgroups are either cyclic, dihedral or generalized quaternion. It is shown that every Coleman automorphism of G is inner. As a direct consequence of this result, it is obtained that the normalizer property holds for G.

引用

页数：9

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