Nielsen methods and groups acting on hyperbolic spaces
Group Theory
2007-05-23 v1 Geometric Topology
Abstract
We show that for any positive integer there exists a constant such that any -generated group , which acts by isometries on a -hyperbolic space (with ), is either free or has a nontrivial element with translation length at most .
Keywords
Cite
@article{arxiv.math/0203014,
title = {Nielsen methods and groups acting on hyperbolic spaces},
author = {Ilya Kapovich and Richard Weidmann},
journal= {arXiv preprint arXiv:math/0203014},
year = {2007}
}