Hyperbolicities in CAT(0) cube complexes
Group Theory
2019-04-29 v2
Abstract
This paper is a survey dedicated to the following question: given a group acting on some CAT(0) cube complex, how to exploit this action to determine whether or not the group is Gromov / relatively / acylindrically hyperbolic? As much as possible, the different criteria we mention are illustrated by applications. We also propose a model for universal acylindrical actions of cubulable groups and give a few applications to Morse, stable and hyperbolically embedded subgroups.
Cite
@article{arxiv.1709.08843,
title = {Hyperbolicities in CAT(0) cube complexes},
author = {Anthony Genevois},
journal= {arXiv preprint arXiv:1709.08843},
year = {2019}
}
Comments
49 pages