| 四维椭圆M bius变换中几类子群的极大性 |
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| 引用本文： | 王仙桃.四维椭圆M bius变换中几类子群的极大性[J].湖南大学学报(自然科学版),1991,18(3). |
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| 作者姓名： | 王仙桃 |
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| 作者单位： | 湖南大学应用数学系 |
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| 摘 要： | 本文对四维保向Mobius变换的椭圆元素进行了研究,得到了两条性质.利用这些性质,证明了三类椭圆群在全体椭圆元素构成的集合E(R~4)中的极大性.
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| 关 键 词： | 矩阵 Mobius函数 椭圆函数 |
The Maximum Property of Several Kinds of Subgroups in Four Dimensional Mobius Transformations |
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| Wang Xiantao.The Maximum Property of Several Kinds of Subgroups in Four Dimensional Mobius Transformations[J].Journal of Hunan University(Naturnal Science),1991,18(3). |
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| Authors: | Wang Xiantao |
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| Institution: | Departmemt of Applied Mathematics |
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| Abstract: | In this paper, we discuss the elliptic elements in four dimensional sense-preserving Mobius transformations, and obtain two elementary properties of them. Based on these properties, we prove the maximum property of three kinds of elliptic subgroups in E(R~4) which is composed of all elliptic elements in four dimensional transformations. |
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| Keywords: | matrices Mobius function elliptic function |
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