Finitely generated groups acting uniformly properly on hyperbolic space
Group Theory
2020-07-29 v1
Abstract
We construct an uncountable sequence of groups acting uniformly properly on hyperbolic spaces. We show that only countably many of these groups can be virtually torsion-free. This gives new examples of groups acting uniformly properly on hyperbolic spaces that are not virtually torsion-free and cannot be subgroups of hyperbolic groups.
Keywords
Cite
@article{arxiv.2007.13880,
title = {Finitely generated groups acting uniformly properly on hyperbolic space},
author = {Robert Kropholler and Vladimir Vankov},
journal= {arXiv preprint arXiv:2007.13880},
year = {2020}
}
Comments
6 pages