s-半置换子群对群p-幂零性的影响  

Influence of S-semipermutable 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）》2014年第5期18-19,共2页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：群G的子群H称为s-半置换的,若对任意的p||G|,只要(p,|H|)=1,就有PH=HP,其中P∈Sylp(G)。讨论Sylow子群的极大子群及导群的s-半置换性对有限群p-幂零性的影响。A subgroup H of a finite group G is called s-semipermutable if it is permutable with every Sylow p-subgroup of G with （p,｜H｜）=1.The influence of a finite group on its p-nilpotence are discussed by using the .s-semipermutablity of maximal subgroups of Sylow subgroup and derived subgroup.

关 键 词：S-半置换子群 极大子群 导群 P-幂零群 

分 类 号：O152[理学—数学]