广西科学2011，Vol.18Issue(4)：325-328,4.
次正规嵌入子群与有限群的p-幂零性
Subnormally Embedded Subgroups and p-nilpotency of Finite Groups
摘要
Abstract
Let P be a Sylow p -subgroup of a group G , where p is a prime divisor of the order of G . ThenG is p -nilpotent if and only if NG(P) is p -nilpotent and one of the following conditions holds: (1) every maximal subgroup of P is subnormally embedded in G ; (2) every 2-maximal subgroup of P is subnormally embedded in G .关键词
有限群/p-幂零群/次正规嵌入子群/Sylow子群/极大子群Key words
finite group/ p -nilpotent group/subnormally embedded subgroup/Sylow subgroup/maximal subgroup分类
数理科学引用本文复制引用
黄琼,韦华全,杨立英,张晓荟..次正规嵌入子群与有限群的p-幂零性[J].广西科学,2011,18(4):325-328,4.基金项目
国家自然科学基金项目(10961007),广西自然科学基金项目(0991101,0991102)和广西教育厅科研基金项目资助. （10961007）
