Group actions on metric spaces: fixed points and free subgroups
Metric Geometry
2013-01-29 v1 Combinatorics
Abstract
We look at group actions on metric spaces, particularly at group actions on geodesic hyperbolic spaces. We classify the types of automorphisms on these spaces and prove several results about the density of the hyperbolic limit set of the group in the whole limit set of the group. In the case of graphs, our theorems hold also when the graphs are not hyperbolic.
Cite
@article{arxiv.1301.6513,
title = {Group actions on metric spaces: fixed points and free subgroups},
author = {Matthias Hamann},
journal= {arXiv preprint arXiv:1301.6513},
year = {2013}
}
Comments
18 pages