| 正多边形对称群的同态象 |
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| 引用本文： | 顾艳红.正多边形对称群的同态象[J].山东师范大学学报(自然科学版),2012,27(1):32-33,37. |
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| 作者姓名： | 顾艳红 |
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| 作者单位： | 北京林业大学理学院数学系,100083,北京 |
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| 摘 要： | 利用正多边形对称群及其子群的性质确定了正多边形对称群的所有非平凡正规子群,利用群同态基本定理得出正n边形对称群G的同态象可能为单位元群、二阶循环群、正n/k边形的对称群以及G本身.
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| 关 键 词： | 正多边形 对称群 商群 正规子群 同态 |
THE HOMOMORPHIC IMAGE OF REGULAR POLYGOINS SYMMETRY GROUP |
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| Gu Yanhong.THE HOMOMORPHIC IMAGE OF REGULAR POLYGOINS SYMMETRY GROUP[J].Journal of Shandong Normal University(Natural Science),2012,27(1):32-33,37. |
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| Authors: | Gu Yanhong |
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| Institution: | Gu Yanhong ( College of Science, Beijing Forestry University, 100083, Beijing, China ) |
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| Abstract: | Abstract Utilizing the properties of regular polygons symmetry group and its subgroup, we determined all the normal subgroups of of regular polygons symmetry Group. It is proved that the homomorphie image of regular n -polygons symmetry group has the following types： unit group, 2 - cyclic group, regular n/k - polygons symmetry group. |
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| Keywords: | regular polygons symmetry group group of quotients normal subgroup homomorphism |
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