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The SQ-universality and residual properties of relatively hyperbolic groups

The SQ-universality and residual properties of relatively hyperbolic groups
The SQ-universality and residual properties of relatively hyperbolic groups
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.
Relatively hyperbolic groups, SQ-universality
0021-8693
165-177
Arzhantseva, G.
833b507e-1dfa-41b0-bf94-f1998f7dd7eb
Minasyan, A.
f5f78f4d-9e22-4e60-9976-ca1bf1d65341
Osin, D.
712badf4-f382-4fec-851b-92f076d38c11
Arzhantseva, G.
833b507e-1dfa-41b0-bf94-f1998f7dd7eb
Minasyan, A.
f5f78f4d-9e22-4e60-9976-ca1bf1d65341
Osin, D.
712badf4-f382-4fec-851b-92f076d38c11

Arzhantseva, G., Minasyan, A. and Osin, D. (2007) The SQ-universality and residual properties of relatively hyperbolic groups. Journal of Algebra, 315 (1), 165-177. (doi:10.1016/j.jalgebra.2007.04.029).

Record type: Article

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.

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Submitted date: 14 March 2006
Published date: September 2007
Keywords: Relatively hyperbolic groups, SQ-universality

Identifiers

Local EPrints ID: 46730
URI: http://eprints.soton.ac.uk/id/eprint/46730
ISSN: 0021-8693
PURE UUID: 222b8ff7-dfa4-40ca-a72b-25e0f7800c61

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Date deposited: 17 Jul 2007
Last modified: 15 Mar 2024 09:26

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Contributors

Author: G. Arzhantseva
Author: A. Minasyan
Author: D. Osin

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