Thick groups have trivial Floyd boundary
Geometric Topology
2019-06-26 v2 Group Theory
Abstract
We prove that thick groups (and more generally thick graphs) have trivial Floyd boundary. This shows a wide class of finitely generated groups that are non-relatively hyperbolic have trivial Floyd boundary. In addition to giving new examples, our result provides a common proof and framework for many of the known results in the literature.
Cite
@article{arxiv.1811.12694,
title = {Thick groups have trivial Floyd boundary},
author = {Ivan Levcovitz},
journal= {arXiv preprint arXiv:1811.12694},
year = {2019}
}
Comments
Final prepublished version. To appear in Proceedings of the American Mathematical Society. Referee comments are incorporated in this version. In particular, the introduction now includes a more complete exposition, and the main theorem has been slightly strengthened