The SQ-universality and residual properties of relatively hyperbolic groups

被引：41

作者：

Arzhantseva, G.

Minasyan, A.

Osin, D.

机构：

[1] Univ Geneva, Sect Math, CH-1211 Geneva, Switzerland

[2] CUNY City Coll, Dept Math, New York, NY 10031 USA

来源：

JOURNAL OF ALGEBRA | 2007年 / 315卷 / 01期

基金：

美国国家科学基金会;

关键词：

relatively hyperbolic groups; SQ-universality;

D O I：

10.1016/j.jalgebra.2007.04.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study residual properties of relatively hyperbolic groups. In particular, we show that if a group G is non-elementary and hyperbolic relative to a collection of proper subgroups, then G is SQ-universal. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：165 / 177

页数：13

共 25 条

[1] Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture
Bass, H
Lubotzky, A
[J]. ANNALS OF MATHEMATICS, 2000, 151 (03) : 1151 - 1173
[2] BAUMSLAG B, 1978, J LOND MATH SOC, V17, P425
[3] BOWDITCH B, 1998, RELATIVELY HYPERBOLI
[4] Combination of convergence groups
Dahmani, F
[J]. GEOMETRY & TOPOLOGY, 2003, 7 : 933 - 963
[5] Tree-graded spaces and asymptotic cones of groups
Drutu, C
Sapir, M
[J]. TOPOLOGY, 2005, 44 (05) : 959 - 1058
[6] Relatively hyperbolic groups
Farb, B
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 1998, 8 (05) : 810 - 840
[7] SQ-UNIVERSALITY OF HNN GROUPS
FINE, B
TRETKOFF, M
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 73 (03) : 283 - 290
[8] FINE B, 1983, LECT NOTES MATH STAT, V5, P41
[9] Gromov M., 1987, Math. Sci. Res. Inst. Publ., V8, P75, DOI [DOI 10.1007/978-1-4613-9586-7_3, 10.1007/978-1-4613-9586-7_3]
[10] Limit groups and groups acting freely on Rn-trees
Guirardel, V
[J]. GEOMETRY & TOPOLOGY, 2004, 8 : 1427 - 1470

← 1 2 3 →