On Coleman automorphisms of wreath products of finite nilpotent groups by abelian groups
On Coleman automorphisms of wreath products of finite nilpotent groups by abelian groups作者机构：College of Mathematics Qingdao University Qingdao 266071 China
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2011年第54卷第10期
页 面：2253-2257页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
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)
主 题：Coleman automorphisms wreath products the normalizer problem
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.
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