arXiv:2208.12688 Abstract | arXiv Analytics

arXiv:2208.12688 [math.GR]Abstract References Reviews Resources

Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups

Published 2022-08-26Version 1

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).

Categories: math.GR

Keywords: hierarchically hyperbolic group, generalised baumslag-solitar groups, free abelian vertex, arbitrary hyperbolic spaces, isometric actions

Related articles: Most relevant | Search more

arXiv:2001.02490 [math.GR] (Published 2020-01-08)

Isometric actions on Lp-spaces: dependence on the value of p

Amine Marrakchi, Mikael de la Salle

arXiv:1810.06476 [math.GR] (Published 2018-10-15)

A refined combination theorem for hierarchically hyperbolic groups

Federico Berlai, Bruno Robbio

arXiv:1512.06071 [math.GR] (Published 2015-12-18)

Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups

Jason Behrstock, Mark F. Hagen, Alessandro Sisto