共轭置换子群对群p-幂零性的影响  

Influences of Self-conjugate Permutable Subgroups on p-nilpotence of Finite Groups

作　　者：高建玲[1] 

机构地区：[1]山西大同大学数学与计算机科学学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2008年第6期12-14,共3页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：群G的一个子群H称为自共轭置换子群,如果对于g∈G,由HHg=HgH可推出H=Hg.本文利用p阶及4阶循环子群的自共轭置换性讨论有限群的结构,给出了此类群的结构描述.A subgroup H of a group G is called self-conjugate permutable, if HH = H H implies that H= H for any g G. In this paper, the author studies the structure of finite groups by means of the self-conjugate permutability of cyclic groups of order and 4, some results for the structure are obtained.

关 键 词：自共轭置换予群 P-幂零群 半直积 

分 类 号：O152[理学—数学]