有限群的弱s-半置换子群与p-幂零性  

Weakly s-semipermutable Subgroups of Finite Groups and p-nilpotence

作　　者：李洁[1] 钱方生[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2010年第4期6-9,共4页Natural Science Journal of Harbin Normal University

基　　金：国家自然科学基金(10671049);龙江学者基金;黑龙江省教育厅项目(11532264);黑龙江省高等教育教学改革工程(2008年)

摘　　要：利用弱s-半置换子群的一些基本性质研究有限群的结构,得到有限群为p-幂零群的一些充分条件.A subgroup of a finite group is called weakly s-semipermutable in G if there is a subgroup K of G such that G=HK and H∩K≤HSSG,where HSSG is the subgroup of H generated by all those subgroup of H which are s-semipermutable in G.In this paper,the structure of finite groups in view of some basic properties of a weakly s-semipermutable subgroup are studied,and some sufficient conditions for p-nilpotence of finite groups are obtained.

关 键 词：S-半置换子群 弱s-半置换子群 SYLOW子群 极大子群 P-幂零群 

分 类 号：O152.1[理学—数学]