洛阳师范学院学报
洛暘師範學院學報
락양사범학원학보
Journal of Luoyang Teachers College
2012年
11期
17~18
,共null页
有限群 共轭子群 不变子群
有限群 共軛子群 不變子群
유한군 공액자군 불변자군
finite group; conjugate subgroup; invariant subgroup
由于有限群子群的乘积不一定是子群,如何判断子群的乘积为子群是一个重要的问题.本文主要证明有限群的所有共轭子群的乘积是子群,并且给出了共轭子群的几个性质.
由于有限群子群的乘積不一定是子群,如何判斷子群的乘積為子群是一箇重要的問題.本文主要證明有限群的所有共軛子群的乘積是子群,併且給齣瞭共軛子群的幾箇性質.
유우유한군자군적승적불일정시자군,여하판단자군적승적위자군시일개중요적문제.본문주요증명유한군적소유공액자군적승적시자군,병차급출료공액자군적궤개성질.
Because of the multiplicative subgroup of a finite group is not a group,how to determine the product of its subgroup for subgroup is an important problem.This paper proves that the product of all conjugate subgroups of a finite group is a subgroup.In particular,we give some propositions about the conjugate subgroups.
