| S_5的子群 |
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| 引用本文： | 赵俊锋,王飞,贾有.S_5的子群[J].晋东南师范专科学校学报,2010(5):50-52. |
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| 作者姓名： | 赵俊锋 王飞 贾有 |
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| 作者单位： | [1]忻州师范学院专科部,山西忻州034000 [2]长治学院数学系,山西长治046011 |
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| 摘 要： | 小阶数对称群在有限群论研究中具有重要的作用,但随着n的增大,结构也越复杂。文章利用传递与正规性计算出了S5的所有子群,并给出了严格的证明。
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| 关 键 词： | 共轭类 n次对称群 长度 |
The Subgroups of S_5 |
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| ZHAO Jun-feng,WANG Fei,JIA You.The Subgroups of S_5[J].Journal of Jindongnan Teachers College,2010(5):50-52. |
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| Authors: | ZHAO Jun-feng WANG Fei JIA You |
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| Institution: | 1.The Specialist Division of Xinzhou Teachers University,Xinzhou Shanxi 034000; 2.Department of Mathematics Changzhi University,Changzhi Shanxi 046011) |
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| Abstract: | Small order of symmetry group plays an important role in research of finite group theory,but as the number n is increasing,the structure of S5 is more complicated.This paper calculates all the subgroups of S5 appling the transitivity and normality and gives the strict proof. |
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| Keywords: | conjugacy class the symmetric group of degree n length |
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