Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908501029158912 |
|---|---|
| author | Button, J. O. |
| author_facet | Button, J. O. |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_12688 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups Button, J. O. Group Theory 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). |
| title | Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2208.12688 |