| 极大子群的次正规完备与有限群的可解性 |
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| 引用本文： | 杨立英,宋玉.极大子群的次正规完备与有限群的可解性[J].四川师范大学学报(自然科学版),2011,34(5):655-658. |
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| 作者姓名： | 杨立英 宋玉 |
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| 作者单位： | 1. 广西师范学院数学科学学院,广西南宁,530001
2. 广西职工体育运动技术学校,广西南宁,530031 |
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| 基金项目： | 国家自然科学基金(10961007和10771095);广西自然科学基金(0991102和0991101)资助项目 |
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| 摘 要： | 利用有限群的特殊极大子群的正规完备和次正规完备对有限群可解性进行研究,给出了有限群可解的几个充分必要条件,这些结论是对已有的有限群刻画的补充和推广.
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| 关 键 词： | 极大子群 正规完备 次正规完备 正规子群 可解群 |
The Subnormal Completions of Maximal Subgroups and the Solvability of Finite Groups |
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| YANG Li-ying,SONG Yu.The Subnormal Completions of Maximal Subgroups and the Solvability of Finite Groups[J].Journal of Sichuan Normal University(Natural Science),2011,34(5):655-658. |
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| Authors: | YANG Li-ying SONG Yu |
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| Institution: | 1.School of Mathematical Sciences,Guangxi Teachers Education University,Nanning 530001,Guangxi; 2.Guangxi Staff Sports Teacher School,Nanning 530031,Guangxi) |
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| Abstract: | In this paper the concept of subnormal completion of maximal subgroups of finite groups is introduced.By using it some necessary and sufficient conditions of the solvability of finite groups are obtained.These conclusions supplement and generalize some existent results. |
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| Keywords: | maximal subgroups normal completion subnormal completion normal subgroups solvable groups |
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