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

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).