M_p嵌入子群与有限群的结构（英文）  

M_p-embedded subgroups and the structure of finite groups

作　　者：张佳[1] 缪龙[1] 高百俊[1,2] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]伊犁师范学院数学与统计学院,新疆伊宁835000

出　　处：《中国科学技术大学学报》2016年第11期887-891,共5页JUSTC

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)

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.

关 键 词：合成因子 Mp嵌入子群 准素子群 

分 类 号：O152.1[理学—数学]