关于有限群S-弱拟正规子群  

The Influence of Weakly Quasinormal Subgroups on the Sructure of Finite Groups

作　　者：李同彬[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》2011年第5期22-23,26,共3页Natural Science Journal of Harbin Normal University

摘　　要：从某一个特殊的子群出发研究一些子群对群结构的影响是群论研究的一个重要方向,利用S-弱拟正规子群及弱拟正规子群来研究一些群的结构,得出了一些群的可解性,超可解性以及幂零性.It is a well - known fact that properties of subgroups of a group influence can influence the structure of the group. The concepts that is weakly to some new criteria of solvability, su quasinormal subgroup and S -weakly quasinormal subgroup can come perrsolvability and nilpotence of finite group Under the assumptions, the groups have some kinds of weakly quasinormal or S - weakly quasinormal subgroups.

关 键 词：S-弱拟正规 P-幂零群 可解 超可解 SYLOW子群 

分 类 号：O152[理学—数学]