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
DOI: 10.12677/PM.2019.95086, PDF,    科研立项经费支持
作者: 徐 宁：广西师范大学数学与统计学院，广西 桂林
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；Exactly n-Minimal Subgroups； S-Permutable Subgroups； SS-Quasinormal Subgroups； Solvable Group； Supersolvable Group
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。
Abstract: 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.
文章引用：徐宁. n-极小子群是SS-拟正规的有限群的结构[J]. 理论数学, 2019, 9(5): 647-652. https://doi.org/10.12677/PM.2019.95086

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