| 欧氏变换群 |
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| 引用本文： | 石立叶,于娜.欧氏变换群[J].新乡学院学报(自然科学版),2009,26(3):14-16. |
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| 作者姓名： | 石立叶 于娜 |
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| 作者单位： | 邯郸学院数学系,河北,邯郸,056005 |
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| 摘 要： | 以不动点为线索来研究欧氏变换群的所有有限子群，得出欧氏变换群有两种有限子群，即同构于模n剩余类群和同构于二面体群的结论。
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| 关 键 词： | 欧氏变换 不动点 剩余类群 二面体群 |
Euclidean Transformation Group |
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| Authors: | SHI Li-ye YU Na |
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| Institution: | (Department of Mathematics, Handan College, Handan 056005, China) |
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| Abstract: | We use the fixed point as a clue to study Euclidean transformation group of all limited subgroup. In conclusion, the entire subgroups of Euclidean transformation group can be divided into two kinds, one of them is isomorphs to residue class group module N, the other is isomorphs to dihedral group. |
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| Keywords: | Euclidean transformation fixed point residue class group dihedral group |
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