共轭子群的几个性质
공액자군적궤개성질
All Conjugate Subgroups of the Finite Group is a Subgroup
  • 万方数据
    洛阳师范学院学报 락양사범학원학보
    JOURNAL OF LUOYANG TEACHERS' COLLEGE
    2012年 11期 17-18 ,共2页

    童艳春%魏含玉

    동염춘%위함옥

    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.
    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.
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