| On Limit Sets and Discreteness Criteria for Nonelementary Subgroups of M（R^n） |
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| 作者姓名： | Bin Lin DAI Ai Nong FANG |
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| 作者单位： | [1]Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P. R. China [2]Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China |
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| 基金项目： | Research supported by NSFC （No. 10271077） |
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| 摘 要： | In this paper, we will study the nonelementary groups of MSbius transformations in R^n and some properties are obtained. Also in this paper we will prove several theorems about discreteness criteria and group convergence of nonelementary groups of M（R^n）.
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| 关 键 词： | 有限集 组件标准 非初等子群 离散群 Isometry group |
| 收稿时间： | 2001-11-20 |
| 修稿时间： | 2001-11-202003-12-12 |
On Limit Sets and Discreteness Criteria for Nonelementary Subgroups of M(
\overline{R} ^{n}
) |
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| Bin Lin DAI Ai Nong FANG.On Limit Sets and Discreteness Criteria for Nonelementary Subgroups of M(
\overline{R} ^{n}
)[J].Acta Mathematica Sinica,2005,21(3):465-472. |
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| Authors: | Bin Lin Dai Ai Nong Fang |
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| Institution: | (1) Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P. R. China;(2) Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China;(3) Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China |
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| Abstract: | In this paper, we will study the nonelementary groups of Möbius transformations in $ \overline{R} ^{n} In this paper, we will study the nonelementary groups of M?bius transformations in
and some properties are obtained. Also in this paper we will prove several theorems about discreteness
criteria and group convergence of nonelementary groups of M(
).
Research supported by NSFC (No. 10271077) |
| |
| Keywords: | Limit set Nonelementary group Discrete group Isometry group |
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