C~*-正规子群和有限群的结构(英文)  

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

作　　者：杜春英[1] 

机构地区：[1]苏州大学数学科学学院,江苏苏州215006

出　　处：《苏州大学学报（自然科学版）》2009年第4期20-24,共5页Journal of Soochow University(Natural Science Edition)

基　　金：Supported by the Natural Science Foundation of China(10571128)

摘　　要：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.

关 键 词：c*-正规子群 极大子群 2-极大子群 

分 类 号：O152.1[理学—数学]