| 极大子群的s-完备与群的可解性 |
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| 引用本文： | 宋玉,;杨立英.极大子群的s-完备与群的可解性[J].广西师院学报,2009(2):5-7. |
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| 作者姓名： | 宋玉 ;杨立英 |
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| 作者单位： | [1]贵港职业学院经济管理系,广西贵港537100; [2]广西师范学院数学科学学院,广西南宁530001 |
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| 基金项目： | 基金项目：国家自然科学基金（10771095）;广西科学基金（0447038,0575052,0832107）;广西教育厅科研资助项目 |
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| 摘 要： | 在可解群的研究中,有限群的极大子群在群论的研究中一直扮演着重要的角色.赋予极大子群若干条件,研究其对有限群本身的结构的影响,是长期以来令人感兴趣的课题.该文尝试用极大子群的s-完备来研究有限群的可解性,并得到了有限群可解的几个充分必要条件.
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| 关 键 词： | 极大子群 s-完备 有限群 |
On s-Completions of Maximal Subgroups and Solvability of Finite Groups |
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| Institution: | SONG Yu , YANG Li-ying (1. Department of Economics and Management, Guigang Vocational College, Guigang 537100, China; 2. School of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530001, China) |
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| Abstract: | Maximal subgroups of finite groups always play an important role in the field of finite groups.To research the impact on the structure of finite groups is an interesting subject for a long period of time by studying maximal subgroups of certain conditions.In this paper,we attempted to study the solvability of finite groups by using s-completions of maximal subgroups,and received several necessary and sufficient conditions about the solvability of a finite group. |
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| Keywords: | maximal subgroup s-completion finite group |
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