| 有限群的S-半置换和C-可补子群 |
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| 引用本文： | 唐曾林,;韦华全,;蒙中传.有限群的S-半置换和C-可补子群[J].广西师院学报,2008(3):5-9. |
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| 作者姓名： | 唐曾林 ;韦华全 ;蒙中传 |
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| 作者单位： | [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 |
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| 基金项目： | Projects supported by Foundation of Hunan University of Arts and science （NO. JJQD 06005）, NSFC （10571181）, NSF of Guangxi（0447038, 0640070） and Guangxi Education Department |
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| 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．
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| 关 键 词： | 超可解群 饱和群系 极大子群 |
s-semipermutable and c-supplemented Subgroups of Finite Groups |
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| Institution: | TANG Zeng-lin, WEI Hua-quan, MENG Zhong-Chuan (1. Department of Mathematics, Hunan University of Arts and Science, Changde 415000, China; 2. Department of Mathematics, Guangxi Teachers Education University, Nanning 530001, China; 3. Department of Mathematics, Guangxi University, Nanning 53004, China) |
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| Abstract: | 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. |
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| Keywords: | s-semipermutable c-supplemented maximal subgroup |
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