The Normalizer Property for Integral Group Rings of Holomorphs of Finite Groups with Trivial Center

被引：0

作者：

Hai, Jin Ke ^{[1
]}

Zhu, Yi Xin ^{[2
]}

机构：

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

[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2020年 / 36卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Coleman automorphisms; characteristically simple group; normalizer property; PRESERVING COLEMAN AUTOMORPHISMS;

D O I：

10.1007/s10114-020-7407-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G = Hol(H) be the holomorph of a finite group H. If there is a prime q dividing vertical bar H vertical bar such that every q-central automorphism of H is inner and Z(H) = 1, then every Coleman automorphism of G is inner. In particular, the normalizer property holds for G.

引用

页码：401 / 406

页数：6

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