极小子群的S-正规性对有限群构造的影响  

The influence of S-normality of minimal subgroups on the structure of finite groups

作　　者：徐颖吾[1] 

机构地区：[1]广西大学数学与信息科学学院

出　　处：《纺织高校基础科学学报》2005年第4期320-322,共3页Basic Sciences Journal of Textile Universities

基　　金：广西自然科学基金资助项目(0249001)

摘　　要：设G为有限群,极小子群在有限群的研究中扮演着一个十分重要的角色.利用极小子群的S-正规性刻划群G的结构,得到一个群p-幂零、幂零的一些充分条件,并推广了一些已知的结果.Let G be a finite group. The minimal subgroups play an important role in the study of finite groups. In this paper, the S-normality of minimal subgroups are used to characterize the structure of the group G, some sufficent conditions are obtained under which a group belongs to p-nilpotent groups and nilpotent groups, and generalize some known results as well.

关 键 词：S-正规子群 P-幂零 有限群 

分 类 号：O152.1[理学—数学]