Dense subgroups of n-dimensional Möbius groups

Dense subgroups of n-dimensional Möbius groups
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DOI:
10.1007/s00209-002-0437-3
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发表时间:
2003-04
影响因子:
0.8
通讯作者:
Xiantao Wang
Xiantao Wang
中科院分区:
数学2区
文献类型:
--
作者:
Xiantao Wang

文献摘要

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我们将从一维Möbius子群中导出一个新的离散性条件,并得到关于这类子群分类的一些结果。我们还将讨论n维Möbius群的密集子群。主要结果是,任何一个一维Möbius群的密集群都包含一个密集的子群,该子群最多由三个元素if生成。
We will derive a new discreteness condition forn-dimensional Möbius subgroups as well as obtain some results concerning classification of such groups. We will also discuss dense subgroups ofn-dimensional Möbius groups. The main result is that any dense group of ann-dimensional Möbius group contains a dense subgroup which is generated by at mostnelements if.