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Mp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.
A subgroup H of Gis called Mp-embedded in G,if there exists a p-nilpotent subgroup B of Gsuch that Hp∈Sylp(B)and Bis Mp-supplemented in G.The structure of finite groups is investigated by means of M_p-embedded property of primary subgroups.
基金
Supported by the NSFC(11271016,11501235)
Qing Lan Project of Jiangsu Province
High-Level Personnel of Support Program of Yangzhou University
the Postgraduate Innovation Project of Jiangsu Province(KYLX15_1352,KYZZ16_0488)
关键词
合成因子
Mp嵌入子群
准素子群
composition factor
Mp-embedded subgroup
primary subgroup
