The SQ-universality and residual properties of relatively hyperbolic groups☆

Arzhantseva, Goulnara N.; Minasyan, Ashot; Osin, Denis V.

doi:10.1016/j.jalgebra.2007.04.029

Scientific article

English

The SQ-universality and residual properties of relatively hyperbolic groups☆

ContributorsArzhantseva, Goulnara N.; Minasyan, Ashot; Osin, Denis V.

Published inJournal of algebra, vol. 315, no. 1, p. 165-177

Publication date2007

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 SQuniversal.

Keywords

Relatively hyperbolic groups
SQ-universality

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ARZHANTSEVA, Goulnara N., MINASYAN, Ashot, OSIN, Denis V. The SQ-universality and residual properties of relatively hyperbolic groups☆. In: Journal of algebra, 2007, vol. 315, n° 1, p. 165–177. doi: 10.1016/j.jalgebra.2007.04.029

Article (Published version)

Identifiers

PID : unige:9807
DOI : 10.1016/j.jalgebra.2007.04.029

Additional URL for this publicationhttp://linkinghub.elsevier.com/retrieve/pii/S0021869307002906

Journal ISSN0021-8693

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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 SQuniversal.

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