Mp嵌入子群与有限群的结构

Mp-embedded subgroups and the structure of finite groups

摘要: 设H是G的子群,如果G存在p幂零子群B使得Hp∈Sylp(B)且B在G中是Mp可补充的，称H是G的Mp嵌入子群. 利用准素子群的Mp嵌入性质研究了有限群的结构.

Abstract: A subgroup H of G is called Mp-embedded in G, if there exists a p-nilpotent subgroup B of G such that Hp∈Sylp(B) and B is Mp-supplemented in G. The structure of finite groups is investigated by means of Mp-embedded property of primary subgroups.