%0 Journal Article
%A LIU Yanjun
%A ZHU Yixin
%T Finite n-Normalizer Groups
%D 2009
%R
%J Acta Scientiarum Naturalium Universitatis Pekinensis
%P 6-10
%V 45
%N 1
%X Based on Ashrafi's idea,n-normalizer groups are defined and investigated.First,some elementary properties about n-normalizer groups are given.Secondly,the existence of finite n-normalizer groups for every positive integer n are proved.Thirdly,the nilpotency and derived lengths of 2,3-normalizer groups are investigated. In particular,it is shown that G″=1 if # Norm(G)=2, and G?=1 if # Norm (G)=3 and G has abelian Sylow 2-subgroups.
%U https://xbna.pku.edu.cn/EN/abstract/article_2224.shtml