广西师范大学学报（自然科学版）2017，Vol.35Issue(2)：45-49,5.DOI:10.16088/j.issn.1001-6600.2017.02.007
几乎SS-嵌入子群与有限群的p-幂零性
Nearly SS-Quasinormal Subgroups and p-Nilpotency of Finite Groups
摘要
Abstract
Let G be a finite group.A subgroup H of G is said to be nearly SS-quasinormal in G if G has a S-quasinormal subgroup K such that HK is S-quasinormal in G, and H∩K≤HseG,where HseG is the subgroup of H generated by all those subgroups of H which are SS-quasinormal in G.In this paper,by using the nearly SS-quasinormalility of n-maximal subgroups of some Sylow p-subgroup of G,some new characterizations of p-nilpotent groups are obtained and several known results are generalized.关键词
有限群/几乎SS-嵌入子群/p-幂零群Key words
finite groups/nearly SS-quasinormal subgroups/p-nilpotent groups分类
数理科学引用本文复制引用
彭红,钟祥贵,谢青..几乎SS-嵌入子群与有限群的p-幂零性[J].广西师范大学学报（自然科学版）,2017,35(2):45-49,5.基金项目
国家自然科学基金(11261007,11461007) （11261007,11461007）
广西自然科学基金(2014GXNSFAA118009,2016GXNSFAA 380156) （2014GXNSFAA118009,2016GXNSFAA 380156）
广西高校科学技术研究项目(ZD2014016) （ZD2014016）
