On S-Semipermutable Subgroups of Finite Groups  

关于有限群的S-半置换子群(英文)

作　　者：卢家宽 李世荣 

机构地区：[1]Department of Mathematics, Shanghai University [2]Department of Mathematics, Guangxi University

出　　处：《Journal of Mathematical Research and Exposition》2009年第6期985-991,共7页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China (No.10161001);the Natural Science Foundation of Guangxi Autonomous Region (No.0249001);a Research Grant of Shanghai University(No.SHUCX091043)

摘　　要：Let d be the smallest generator number of a finite p-group P and let Md(P) = {P1,...,Pd} be a set of maximal subgroups of P such that ∩di=1 Pi = Φ(P). In this paper, we study the structure of a finite group G under the assumption that every member in Md(Gp) is S-semipermutable in G for each prime divisor p of |G| and a Sylow p-subgroup Gp of G.Let d be the smallest generator number of a finite p-group P and let Md（P） = {P1,...,Pd} be a set of maximal subgroups of P such that ∩di=1 Pi = Φ（P）. In this paper, we study the structure of a finite group G under the assumption that every member in Md（Gp） is S-semipermutable in G for each prime divisor p of ｜G｜ and a Sylow p-subgroup Gp of G.

关 键 词：S-semipermutable subgroups p-nilpotent groups supersolvable groups. 

分 类 号：O152.1[理学—数学] S852.659.1[理学—基础数学]