| 两个超可解性定理的推广 |
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| 引用本文： | 韦华全.两个超可解性定理的推广[J].广西师范学院学报(自然科学版),2003,20(1):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： | supportedbyNSFofGuangxiNormalCollege . |
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| 摘 要： | 子群H称为在有限群G中有补，如果存在G的子群使HN＝G且H∩N＝1．此时，N称为H在G中的补子群．该文目的是推广由李德玉和郭秀云得到的有关可补子群的两个超可解性定理．
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| 关 键 词： | 超可解性定理 有限群 可补子群 可解群 超可解群 Sylow子群 |
Generalization of Two Supersolvability Theorems |
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| Abstract.Generalization of Two Supersolvability Theorems[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2003,20(1):1-4. |
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| Authors: | Abstract |
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| Abstract: | A subgroup H is said to be complemented in a finite group G if there exists a subgroup N of G such that HN=G and H∩N=1. In this case, N is called a complement of H in G.. The purpose of this paper is to generalize two supersolvability theorems obtained by LI De-yu and GUO Xiu-yun with respect to complemented subgroups of finite groups. |
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| Keywords: | Finite group Solvable group Supersolvable group Sylow subgroup complemented subgroup |
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