因子群为次正规子群的乘积因子群的性质  

The Properties of Finite Factorized Groups with Subnormal Subgroups

作　　者：唐楠楠 景瑞姣 TANG Nannan;JING Ruijiao(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong,Shanxi 030619,China)

机构地区：[1]太原师范学院数学与统计学院,山西晋中030619

出　　处：《平顶山学院学报》2024年第2期8-10,共3页Journal of Pingdingshan University

摘　　要：若G=AB,其中A,B是有限群G的子群,则称G为乘积因子群.对因子群为次正规子群的乘积因子群的分解进行研究,得到了Hallπ-子群、Sylow p-子群、O^(π)(G)以及O^(p)(G)的分解形式.Let G be a finite group,and A,B be its subgroups.If G=AB,then G was called a factorized group.This paper mainly studies the decomposition of finite factorized groups with subnormal subgroups,obtaining the decomposition of Hallπ-subgroup,Sylow p-subgroup,O^(π)(G)and O^(p)(G).

关 键 词：乘积因子群 次正规子群 Hallπ-子群 Sylow p-子群 Oπ(G) O p(G) 

分 类 号：O152.1[理学—数学]