| Sylow定理的证明及其应用 |
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| 引用本文： | 赵适红.Sylow定理的证明及其应用[J].长治学院学报,2008,25(5). |
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| 作者姓名： | 赵适红 |
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| 作者单位： | 晋城职业技术学院数学系,山西晋城,048000 |
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| 摘 要： | 在代数上起着举足轻重作用的Sylow定理,文章巧妙地利用＂群作用在集合上＂来加以论证,使定理证明过程更简明、易懂。并通过一些例子说明了Sylow定理的应用。
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| 关 键 词： | Sylow定理 群 子群 Sylowp-子群 共轭 |
On Sylow's Theorem of Proof and Application |
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| ZHAO Shi-hong.On Sylow's Theorem of Proof and Application[J].Journal of Changzhi University,2008,25(5). |
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| Authors: | ZHAO Shi-hong |
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| Abstract: | In Algebra play a decisive role in the Sylow theorem,to its scientific nature,this clever use of the"Group role in the collection"to be demonstrated,the theorem that process more concise,easy to understand.Through a series of propositions and proof of the theorem that the Sylow application. |
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| Keywords: | sylow's theorem subgroup group sylow p-subgroup conjugate |
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