| 极大子群的指数皆素数的群 |
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| 引用本文： | 曾利江,翁小勇.极大子群的指数皆素数的群[J].云南大学学报(自然科学版),2009,31(4):325-328. |
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| 作者姓名： | 曾利江 翁小勇 |
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| 作者单位： | 遵义师范学院数学系系, 贵州遵义 563002 |
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| 摘 要： | 首先,引进了p-主因子,超可解群和强p-闭群的新概念;然后,证明了它们的一些性质;最后利用这些性质和概念证明了极大子群的指数皆素数的群必是超可解群.
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| 关 键 词： | p-主因子 超可解群 强p-闭群 主群列 |
| 收稿时间： | 2008-9-1 |
Group with prime index of each maximal subgroups |
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| ZENG Li-jiang,WENG Xiao-yong.Group with prime index of each maximal subgroups[J].Journal of Yunnan University(Natural Sciences),2009,31(4):325-328. |
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| Authors: | ZENG Li-jiang WENG Xiao-yong |
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| Institution: | Department of Mathematics, Zunyi Normal College, Zunyi 563002, China |
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| Abstract: | Firstly,some new concepts of p-principal divisor,supersolvable group and strictly p-closed group are introduced.Then,some properties about them are proved.Finally,the group with prime index of each maximal subgroups should be supersolvable group is proved. |
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