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

作　　者：Jin Ke HAI Yi Xin ZHU 

机构地区：[1]College of Mathematics and Statistics,Qingdao University,Qingdao 266071,P.R.China [2]School of Mathematical Sciences,Capital Normal University,Beijing 100048,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2020年第4期401-406,共6页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11871292)。

摘　　要：Let G=Hol(H)be the holomorph of a finite group H.If there is a prime q dividing|H|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.

关 键 词：Coleman automorphisms characteristically simple group normalizer property 

分 类 号：O152.1[理学—数学]