{
  "id": "2208.12688",
  "version": "v1",
  "published": "2022-08-26T14:35:07.000Z",
  "updated": "2022-08-26T14:35:07.000Z",
  "title": "Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups",
  "authors": [
    "J. O. Button"
  ],
  "categories": [
    "math.GR"
  ],
  "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).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-26T14:35:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hierarchically hyperbolic group",
      "generalised baumslag-solitar groups",
      "free abelian vertex",
      "arbitrary hyperbolic spaces",
      "isometric actions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}