有限群的s-正规子群Ⅱ

s-Normal Subgroups Of Finite Groups Ⅱ

群G的一个子群H称为在G中s 正规,如果存在G的一个次正规子群K使得G=HK且H∩K≤HSG,其中HSG是包含在H中的G的最大次正规子群.本文继续利用子群的s 正规性研究群的结构.

A subgroup H of a group G is said s-normal in G, if there exists a subnormal subgroup K of G such that G=HK and H∩K≤H_(SG), where H_(SG) is the largest subnormal subgroup of G which is contained in H. In this paper, the author continues discussing the properties of groups by using s-normality of subgroups.