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
唐楠楠 1景瑞姣1
作者信息
- 1. 太原师范学院 数学与统计学院,山西 晋中 030619
- 折叠
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Hall π-子群、Sylow p-子群、Oπ(G)以及Op(G)的分解形式.
Abstract
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,obtai-ning the decomposition of Hall π-subgroup,Sylow p-subgroup,Oπ(G)and Op(G).
关键词
乘积因子群/次正规子群/Hall/π-子群/Sylow/p-子群/Oπ(G)/Op(G)Key words
factorized group/subnormal subgroups/Hall π-subgroup/Sylow p-subgroup/Oπ(G)/Op(G)引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据