n-极小子群是SS-拟正规的有限群的结构  

Finite Groups Structure with n-Minimal Subgroups SS-Quasinormal

作　　者：徐宁 

机构地区：[1]广西师范大学数学与统计学院,广西桂林

出　　处：《理论数学》2019年第5期647-652,共6页Pure Mathematics

基　　金：广西研究生教育创新计划项目(XYCSZ2019086)。

摘　　要：设G是有限群,H是G的子群。称H在G中SS-拟正规,如果H存在补子群B,满足H和B的每个Sylow子群可以交换。本文基于所有恰n-极小子群是SS-拟正规子群的有限群,讨论有限群的结构。Let G be a finite group.A subgroup H of G is said to be an SS-quasinormal subgroup of G if there is a supplement B of H to G such that H permutes with every Sylow subgroup of B.In this paper,the structures of finite groups are discussed by making the exactly n-minimal groups in G and the ex-actly n-minimal groups in G to be SS-quasinormal subgroups.

关 键 词：恰n-极小子群 S-置换子群 SS-拟正规子群 可解群 超可解群 

分 类 号：O1[理学—数学]