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

作　　者：HAI JinKe LI ZhengXing 

机构地区：[1]College of Mathematics, Qingdao University, Qingdao 266071, China

出　　处：《Science China Mathematics》2011年第10期2253-2257,共5页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11171169, 11071155);Natural Science Foundation of Shandong Province (Grant No. Y2008A03);Shandong Provincial Education Department (Grant No. J07YH06)

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.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.

关 键 词：Coleman automorphisms wreath products the normalizer problem 

分 类 号：O152[理学—数学] O152.2[理学—基础数学]