有限群的弱拟正规子群

On Weakly Qnasi-normal Subgroups of Finite Groups

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.