C~*-正规子群和有限群的结构(英文)

C~*-normal subgroups and the structure of finite groups

H为群G的子群,如果存在G的正规子群K使得G=HK并且H∩K在G中是S-拟正规嵌入的,我们称H在G中是c*-正规的.我们利用群G的Sylow子群的2-极大子群的c*-正规性来刻划群的结构,一些已知的结果得到推广.

A subgroup H of a group G is called c^＊ -normal in G if there exists a normal subgroup K of G such that G = HK and H n K is s-quasinormally embedded in G. In this paper we characterize p-nilpotent of finite group G with assumption that some 2-maximal subgroups of Sylow subgroup of G are c^＊ -normal. Some recent results are extended.