| 具有某些可补子群的有限群 |
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| 引用本文： | 韦华全. 具有某些可补子群的有限群[J]. 广西师范学院学报(自然科学版), 2006, 23(3): 1-4 |
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| 作者姓名： | 韦华全 |
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| 作者单位： | 广西师范学院数学与计算机科学系,广西南宁530001 |
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| 基金项目： | 国家自然科学基金 , 广西自然科学基金 , 广西教育厅科研项目 |
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| 摘 要： | 子群H称为在有限群G中有补,如果存在G的子群K使得G=HK且H∩K=1.利用某些极小子群的可补性,该文给出了有限群成为p-幂零和可解的若干充分或必要条件.一些已知的结果得到了推广.
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| 关 键 词： | 有限群 可补子群 极小子群 p-幂零 可解 |
| 文章编号： | 1002-8743（2006）03-0001-04 |
| 收稿时间： | 2006-07-01 |
| 修稿时间： | 2006-07-01 |
On Finite Groups with Some Subgroups Complemented |
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| WEI Hua-quan. On Finite Groups with Some Subgroups Complemented[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 2006, 23(3): 1-4 |
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| Authors: | WEI Hua-quan |
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| Affiliation: | Dept. of Math. , Guangxi Teachers Education University, Nanning 530001, China |
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| Abstract: | A subgroup H is said to be complemented in a finite group G if there exists a subgroup K of G such that G=HK and H∩K=1. In this paper, we present some sufficient and necessary conditions for a finite group to be p-nilpotent and solvable by using some complemented minimal subgroups. As applications, we extend some known results. |
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| Keywords: | finite group complemented subgroup minimal subgroup p-nilpotent solvable |
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