有限群的弱拟正规子群  

On Weakly Qnasi-normal Subgroups of Finite Groups

作　　者：赵振华[1] 肖志祥[2] 

机构地区：[1]重庆工学院数理学院 [2]重庆大学数理学院

出　　处：《重庆大学学报（自然科学版）》2006年第11期119-121,共3页Journal of Chongqing University

摘　　要：群G的一个子群H称为弱拟正规的,若对G的任意子群K,至少存在一个K的共扼子群Kx,x∈G,使得HKx=KxH.研究了某些子群的弱拟正规性对群构造的影响,并得到了一些结果.conjugate normality A subgroup H of a group G is said to be weakly quasi-normal in G , if for any subgroup K of G , there exists a subgroup K^x of K such that HK^x = K^x H ,where x ∈ G. The authors investigate the influence of weakly quasi-normality of some subgroups on the structure of finite groups and obtain some results on some kinds of weaker conditions.

关 键 词：弱拟正规群 超可解群 FITTING子群 群系 

分 类 号：O152.1[理学—数学]