Nielsen methods and groups acting on hyperbolic spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that for any positive integer $n$ there exists a constant $C(n)>0$ such that any $n$-generated group $G$, which acts by isometries on a $δ$-hyperbolic space (with $δ>0$), is either free or has a nontrivial element with translation length at most $δC(n)$.

Keywords

Group Theory, Geometric Topology, 20F67

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/63474

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203014
 http://arxiv.org/abs/math/0203014

Collections

arXiv