%0 Journal Article
%T 关于有限群Coleman自同构的一个注记<br>A note on Coleman automorphisms of finite groups
%A 海进科
%A 王伟
%A 何威萍&lt
%A br&gt
%A HAI Jin-ke
%A WANG Wei
%A HE Wei-ping
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.587
%X 摘要： 设G为有限群,KG且K为非交换单群,若G/K为交换群或非交换单群, 则G的每个Coleman自同构为内自同构,即OutCol(G)=1。特别地,这样的有限群G具有正规化子性质。<br>Abstract: Let K be a normal subgroup of a finite group G and K be a non-abelian simple group. If G/K is a abelian group or a non-abelian simple group. It is shown that every Coleman automorphism of G is an inner automorphism, that is, OutCol(G)=1. In particular, the normalizer property holds for G
%K 非交换单群
%K 正规化子问题
%K Coleman自同构
%K &lt
%K br&gt
%K non-abelian simple groups
%K the normalizer problem
%K Coleman automorphisms
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.587