Quasi-actions whose quasi-orbits are quasi-isometric to trees
Group Theory
2023-05-23 v1 Geometric Topology
Abstract
We give necessary and sufficient conditions under which a quasi-action of any group on an arbitrary metric space can be reduced to a cobounded isometric action on some bounded valence tree, following a result of Mosher, Sageev and Whyte. Moreover if the quasi-action is metrically proper and quasi-orbits are quasi-isometric to trees then the group is virtually free.
Keywords
Cite
@article{arxiv.2305.13105,
title = {Quasi-actions whose quasi-orbits are quasi-isometric to trees},
author = {J. O. Button},
journal= {arXiv preprint arXiv:2305.13105},
year = {2023}
}