有限群的M_p-嵌入子群  

On M_p-Embedded Subgroups of Finite Groups

作　　者：鲍宏伟[1] 缪利云 

机构地区：[1]蚌埠学院数理系,安徽蚌埠233030 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《吉林大学学报（理学版）》2013年第6期1009-1012,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11271016);安徽省教育厅自然科学基金(批准号:KJ2013B138);安徽蚌埠学院自然科学基金(批准号:2011ZR03zd)

摘　　要：利用Fitting子群和广义Fitting子群中某些准素子群的Mp-嵌入性质,得到了有限超可解群的若干充分条件.结果表明,子群的Mp-嵌入性质对有限群的构造有重要影响.Using the Mp-embedding properties of some primary subgroup of Fitting subgroup and generalized Fitting subgroup to study the structure of finite groups,we obtained some sufficient conditions of supersolvable groups.At the same time,it was found that Mp-embedding properties of subgroups have important influence on the structure of finite groups.

关 键 词：超可解群 Mp-嵌入子群 饱和群系 有限群 

分 类 号：O152.1[理学—数学]