广西师范大学学报(自然科学版)2011,Vol.29Issue(3):14-17,4.
SS-半置换子群与有限群的 p-幂零性
On SS-Semipermutable Subgroups and p-Nilpotency of Finite Groups
摘要
Abstract
A subgroup H of a finite group G is said to be 55-semipermutable in G,if there exists a subgroup B of G such that HB (△)G,Sylp(B)(∪)Sylp(G)?and H is permutable with every Sylow p-subgroup P of B for p∈π(G) with (p, |H|) = 1. In this paper,p-nilpotence of finite groups is characterized,and some earlier results are unified and generalized.关键词
有限群/SS-半置换子群/p-幂零群Key words
finite group/SS-semipermutable subgroups/p-nilpotent groups分类
数理科学引用本文复制引用
钟祥贵,赵娜,黄秀女,段建良..SS-半置换子群与有限群的 p-幂零性[J].广西师范大学学报(自然科学版),2011,29(3):14-17,4.基金项目
国家自然科学基金资助项目(10961007) (10961007)
广西自然科学基金资助项目(0991090) (0991090)
广西研究生教育创新基金资助项目(2010106020701M40) (2010106020701M40)