| 引用本文： |
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李世荣,卢家宽,孟伟.超可解群的若干充分条件[J].广西科学,2006,13(4):241-244. [点击复制]
- LI Shi-rong,LU Jia-kuan,MENG Wei.Some Sufficient Conditions for Supersolvability of Finite Groups[J].Guangxi Sciences,2006,13(4):241-244. [点击复制]
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| 摘要: |
| 把子群的S-拟正规和C-正规结合起来,证明:若群G的每个Sylow子群的极大子群均在G中S-拟正规或C-正规,则G超可解.并结合S-拟正规和C-正规的概念得到有限群超可解的若干充分条件,其中一些充分条件推广了相关文献报道的结果. |
| 关键词: 有限群 超可解 S-拟正规 C-正规 |
| DOI： |
| 投稿时间：2006-05-26 |
| 基金项目:广西自然科学基金项目(编号:0249001)资助。 |
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| Some Sufficient Conditions for Supersolvability of Finite Groups |
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LI Shi-rong, LU Jia-kuan, MENG Wei
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| (College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| In combination of the concepts of S-quasinormal subgroup and C-normal subgroup,it is showed that G is Supersolvable if the maximal subgroup of each Sylow subgroup of G is S-quasinormal or C-normal in G.Some sufficient conditions are obtained for finite groups to be Supersolvable.Some previously known results are generalized. |
| Key words: finite groups supersolvable S-quasinormal C-normal |
