{
  "id": "2302.10653",
  "version": "v1",
  "published": "2023-02-21T13:12:31.000Z",
  "updated": "2023-02-21T13:12:31.000Z",
  "title": "Invariable generation of certain groups of piecewise projective homeomorphisms of the real line",
  "authors": [
    "Shuhei Maruyama"
  ],
  "comment": "18 pages, no figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We show that the following groups are invariably generated; the group of piecewise projective homeomorphisms of the real line, the group of piecewise $\\mathrm{PSL}(2,\\mathbb{Z})$ homeomorphisms of the real line, Monod's group $H(\\mathbb{Z})$, the group of piecewise $\\mathrm{PSL}(2,\\mathbb{Q})$ homeomorphisms of the real line with rational breakpoints. We also show that the Higman--Thompson group $F_n$ for every $n \\in \\mathbb{Z}_{\\geq 3}$ and the golden ratio Thompson group $F_{\\tau}$ are invariably generated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-21T13:12:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real line",
      "piecewise projective homeomorphisms",
      "invariable generation",
      "golden ratio thompson group",
      "monods group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}