Discreteness of subgroups of PU(2,1) with regular elliptic elements

Discreteness of subgroups of PU(2,1) with regular elliptic elements
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具有正则椭圆元的 PU(2,1) 子群的离散性

DOI:
10.1016/j.laa.2007.07.021
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发表时间:
2008
影响因子:
1.1
通讯作者:
Yue
Yue
中科院分区:
数学3区
文献类型:
--
作者:
Baohua Xie;Yue

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在[Y.- P. Jiang,S.神谷帕克,复双曲空间的Jøgensen不等式,Geometriae Dedicate 97(2003)55-80],Jiang等人提供了复双曲空间的等距的非初等群的Jørgensen不等式,该等距群由两个元素生成,其中一个元素是斜驶的或边界椭圆的。本文给出了由两个元素生成的子群的类似的Jørgensen不等式,其中一个元素是正则椭圆的。
In [Y.-P. Jiang, S. Kamiya, J.R. Parker, Jøgensen’s inequality for complex hyperbolic space, Geometriae Dedicate 97 (2003) 55–80], Jiang et al. provided Jørgensen’s inequality for non-elementary group of isometries of complex hyperbolic space generated by two elements, one of which is loxodromic or boundary elliptic. In this paper, we give analogues of Jørgensen’s inequality for the subgroup generated by two elements, but one of which is regular elliptic.
复双曲 2 空间的 Jorgensen 不等式
DOI: --
发表时间: 2003
期刊: RIMS Kokyuroku 1329"Perspectives of Hyperbolic Spaces"
影响因子: --
作者:
Shimomura;A.;H.Tahara;S.Kamiya
通讯作者: S.Kamiya