Algebraic convergence of finitely generated Kleinian groups in all dimensions

被引：2

作者：

Yang, Shihai ^{[1
]}

机构：

[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 05期

关键词：

Kleinan groups; Algebraic convergence; Condition A; MOBIUS GROUPS; DISCRETENESS; TRANSFORMATIONS; THEOREMS;

D O I：

10.1016/j.laa.2009.10.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove that for a sequence {G(i,r)} of r-generator Kleinian groups acting on (R) over bar (n), if {G(i,r)} satisfies Condition A, then its algebraic limit is also a Kleinian group. This generalizes the main result in [X. Wang, Algebraic convergence theorems of n-dimensional Kleinian groups, Israel J. Math. 162 (2007) 221-233]. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1147 / 1151

页数：5

共 50 条

[21] Algebraic convergence theorems of n-dimensional Kleinian groups
Xiantao Wang
Israel Journal of Mathematics, 2007, 162 : 221 - 233
[22] STRUCTURE OF A FINITELY GENERATED KLEINIAN GROUP
AHLFORS, LV
ACTA MATHEMATICA UPPSALA, 1969, 122 (1-2): : 1 - &
[23] Algebraic convergence theorems of n-dimensional Kleinian groups
Wang, Xiantao
ISRAEL JOURNAL OF MATHEMATICS, 2007, 162 (01) : 221 - 233
[24] Discreteness criteria of Mobius groups of high dimensions and convergence theorems of Kleinian groups
Wang, XT
Yang, WQ
ADVANCES IN MATHEMATICS, 2001, 159 (01) : 68 - 82
[25] Convergence of Fourier truncations for compact quantum groups and finitely generated groups
Rieffel, Marc A.
JOURNAL OF GEOMETRY AND PHYSICS, 2023, 192
[26] Finitely Generated Groups with Controlled Pro-algebraic Completions
Kassabov, Martin
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II, 2014, : 203 - 221
[27] RINGS OF CHARACTERS REPRESENTATIONS OF FINITELY GENERATED GROUPS INTO RANDOM ALGEBRAIC-GROUPS
RAPINCHUCK, AS
BARKOVICH, OA
DOKLADY AKADEMII NAUK BELARUSI, 1993, 37 (02): : 101 - 105
[28] Groups with subnormality for all subgroups that are not finitely generated.
Heineken, H
Kurdachenko, LA
ANNALI DI MATEMATICA PURA ED APPLICATA, 1995, 169 : 203 - 232
[29] Strong convergence of Kleinian groups
G. Kleineidam
Geometric & Functional Analysis GAFA, 2005, 15 : 416 - 452
[30] Kleinian groups in higher dimensions
Kapovich, Michael
GEOMETRY AND DYNAMICS OF GROUPS AND SPACES, 2008, 265 : 487 - 564

← 1 2 3 4 5 →