Summary: Journal of Algebra 315 (2007) 165­177
www.elsevier.com/locate/jalgebra
The SQ-universality and residual properties of relatively
hyperbolic groups
G. Arzhantseva a
, A. Minasyan a,
, D. Osin b
a Université de Genève, Section de Mathématiques, 2-4 rue du Lièvre, Case postale 64, 1211 Genève 4, Switzerland
b NAC 8133, Department of Mathematics, The City College of the City University of New York,
Convent Ave. at 138th Street, New York, NY 10031, USA
Received 14 March 2006
Available online 23 May 2007
Communicated by Efim Zelmanov
Abstract
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.
© 2007 Elsevier Inc. All rights reserved.
Keywords: Relatively hyperbolic groups; SQ-universality
1. Introduction

Source: Arzhantseva, Goulnara N. - Section de Mathématiques, Université de Genève

Collections: Mathematics