Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups
Group Theory
2025-08-26 v2
Abstract
We look at isometric actions on arbitrary hyperbolic spaces of generalised Baumslag - Solitar groups of arbitrary dimension (the rank of the free abelian vertex and edge subgroups). It is known that being a hierarchically hyperbolic group is not a quasi-isometric invariant. We show that virtually being a hierarchically hyperbolic group is not invariant under quasi-isometry either, and nor is property (QT).
Cite
@article{arxiv.2208.12688,
title = {Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups},
author = {J. O. Button},
journal= {arXiv preprint arXiv:2208.12688},
year = {2025}
}
Comments
Final version before publication