有限群的弱SS拟正规可补子群  

Weakly SS-quasinormally supplemented subgroups of finite groups

作　　者：韩成[1] 邓先银[1] 王冬明[1] 

机构地区：[1]江苏师范大学数学与统计学院,江苏徐州221116

出　　处：《江苏师范大学学报（自然科学版）》2013年第2期1-5,共5页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11071229);江苏师范大学研究生科研创新计划资助项目(2012YYB092)

摘　　要：群G的子群H称为在G中是弱SS拟正规可补的,如果G中存在一个子群T,使得G=HT且H∩T≤HSSG,其中HSSG表示含在H中G的某个SS拟正规子群.利用弱SS拟正规可补子群的概念,得到关于p幂零群和幂零群的一些新刻画.A subgroup H of a group G is said to be weakly SS-quasinormally supplemented in G if there is a subgroup T of G such that G= HT and H∩T≤ HSSG, where HSSG is some SS-quasinormal subgroup of G contained in H. By using the concept of weakly SS-quasinormally supplemented subgroups, some new criteria of p-nilpotent groups and nilpotent groups are obtained.

关 键 词：有限群 SS拟正规子群 弱SS拟正规可补子群 p幂零群 幂零群 

分 类 号：O152[理学—数学]