Tree amalgamations and quasi-isometries
Combinatorics
2018-12-13 v1 Group Theory
Abstract
We investigate the connections between tree amalgamations and quasi-isometries. In particular, we prove that the quasi-isometry type of multi-ended accessible quasi-transitive connected locally finite graphs is determined by the quasi-isometry type of their one-ended factors in any of their terminal factorisations. Our results carry over theorems of Papsoglu and Whyte on quasi-isometries between multi-ended groups to those between multi-ended graphs. In the end, we discuss the impact of our results to a question of Woess.
Cite
@article{arxiv.1812.04987,
title = {Tree amalgamations and quasi-isometries},
author = {Matthias Hamann},
journal= {arXiv preprint arXiv:1812.04987},
year = {2018}
}
Comments
14 pages