关于有限群的s-半置换子群

On s-Semipermutable Subgroups of Finite Groups

如果有限群G的一个子群H同G的所有阶与|H|互素的Sylow子群P相乘可换,即HP=PH,则称H为G的s-半置换子群.本文利用s-半置换子群的一些基本性质来研究群的结构,并获得可分群的一些新结果.

A subgroup H of a finite group G was called s -semipennutable in G if H permutes with all Sylow subgroups of G with order prime to ｜H｜. In this paper, we study the structure of finite groups in view of some basic properties and obtain some new results about factorizable groups.