| 极大子群的s-完备与群的可解性 |
| |
| 引用本文： | 宋玉,杨立英.极大子群的s-完备与群的可解性[J].广西师范学院学报(自然科学版),2009,26(2):5-7. |
| |
| 作者姓名： | 宋玉 杨立英 |
| |
| 作者单位： | 贵港职业学院,经济管理系,广西,贵港,537100;广西师范学院,数学科学学院,广西,南宁,530001 |
| |
| 基金项目： | 国家自然科学基金，广西科学基金，广西教育厅科研资助项目 |
| |
| 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.
|
| 关 键 词： | 极大子群 s-完备 有限群 |
On s-Completions of Maximal Subgroups and Solvability of Finite Groups |
| |
| SONG Yu,YANG Li-ying.On s-Completions of Maximal Subgroups and Solvability of Finite Groups[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2009,26(2):5-7. |
| |
| Authors: | SONG Yu YANG Li-ying |
| |
| Institution: | 1.Department of Economics and Management;Guigang Vocational College;Guigang 537100;China;2.School of Mathematical Sciences;Guangxi Teachers Education University;Nanning 530001;China |
| |
| 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. |
| |
| Keywords: | maximal subgroup s-completion finite group |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
