有限群的S-半置换和C-可补子群(英文)  

On s-semipermutable and c-supplemented Subgroups of Finite Groups

作　　者：唐曾林[1] 韦华全[2] 蒙中传[3] 

机构地区：[1]湖南文理学院数学与信息科学系,湖南常德415000 [2]广西师范学院数学与计算机科学系,广西南宁530001 [3]广西大学数学与信息科学系,广西南宁530004

出　　处：《广西师范学院学报（自然科学版）》2008年第3期5-9,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：Foundation of Hunan University of Arts and science(NO.JJQD06005);NSFC(10571181);NSF of Guangxi(0447038,0640070);Guangxi Education Department

摘　　要：设G是一个有限群,许多学者对西罗子群的极大子群的性质对群G的结构的影响问题都怀有浓厚的兴趣并进行了广泛的研究.该文利用非循环西罗子群的极大子群的S-半置换和C-可补性刻画了G的结构,推广了一些已有结果.Let G be a finite group, the question of how the properties of its maximal subgroups of Sylow subgroups influence the structure of G is of considerable interest for scholars. In this paper, we try to use the s-semipermutability and c-supplementation of maximal subgroups of non-cyclic Sylow subgroups to characterize the structure of G. Some known results are generalized.

关 键 词：超可解群 饱和群系 极大子群 

分 类 号：O152[理学—数学]