| 引用本文： |
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曾凡辉,李世荣.半正规、C-正规与有限群的超可解性[J].广西科学,2003,10(2):81-85. [点击复制]
- Zeng Fanhui,Li Shirong.Semi-Normal,C-Normal and Supersolvability of Finite Groups[J].Guangxi Sciences,2003,10(2):81-85. [点击复制]
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| 摘要: |
| 把半正规与C-正规结合起来,证明若群G的每个Sylow子群的极大子群在G中或半正规或C-正规,则G超可解.并结合半正规与C-正规的概念得到了有限群超可解的若干充分条件,同时推广了一些已知结果. |
| 关键词: 半正规 C-正规 超可解 Sylow基 |
| DOI： |
| 投稿时间：2002-11-26 |
| 基金项目:国家自然科学基金项目资助(编号10161001)和广西自然科学基金资助项目。 |
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| Semi-Normal,C-Normal and Supersolvability of Finite Groups |
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Zeng Fanhui, Li Shirong
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| (Dept. of Math & Info Sci, Guangxi Univ, 100 Daxuelu, Nanning, Guangxi, 530004, China) |
| Abstract: |
| In combination of the concepts of semi-normal subgroup and C-normal subgroup,it is proved that G is supersolvable if the maximal subgroup of each Sylow subgroup of G is semi-normal or C-normal in G. Some sufficient conditions are obtained for finite groups to be supersolvable. Some previously known results are generalized. |
| Key words: semi-normal subgroup C-normal subgroup supersolvable Sylow basis |
