| 5次对称群S5的子群 |
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| 引用本文： | 占颖,张细苟.5次对称群S5的子群[J].江西师范大学学报(自然科学版),2021,45(2):198-203. |
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| 作者姓名： | 占颖 张细苟 |
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| 作者单位： | 江西师范大学数学与统计学院,江西 南昌 330022 |
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| 摘 要： | 利用在群论中一些重要的定理以及在n次对称群中的重要知识,该文通过理论推导得到了对称群S5的所有子群(共156个),并分析了这些子群的结构.
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| 关 键 词： | nn次对称群Sn 子群 Lagrange定理 Sylow定理 |
The Subgroups of 5-Degree Symmetric Group S5 |
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| ZHAN Ying,ZHANG Xigou.The Subgroups of 5-Degree Symmetric Group S5[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2021,45(2):198-203. |
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| Authors: | ZHAN Ying ZHANG Xigou |
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| Institution: | School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China |
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| Abstract: | In this paper,it is concluded that there are 156 subgroups in S5 through theoretical derivation by using some important theorems in group theory and important knowledge in symmetric groups.And the structure of these subgroups are analyzed. |
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| Keywords: | nn-degree symmetric group Sn subgroup Lagrange's theorem Sylow's theorem |
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