Characterising acylindrical hyperbolicity via permutation actions
Group Theory
2022-07-07 v1
Abstract
We characterise acylindrical hyperbolicity of a group in terms of properties of an action of the group on a set (without any extra structure). In particular, this applies to the action of the group on itself by left multiplication, as well as the action on a (full measure subset of the) Furstenberg-Poisson boundary.
Cite
@article{arxiv.2207.02828,
title = {Characterising acylindrical hyperbolicity via permutation actions},
author = {Uri Bader and Alessandro Sisto},
journal= {arXiv preprint arXiv:2207.02828},
year = {2022}
}
Comments
10 pages