{
  "id": "2308.16136",
  "version": "v1",
  "published": "2023-08-30T16:47:12.000Z",
  "updated": "2023-08-30T16:47:12.000Z",
  "title": "Actions of finitely generated groups on compact metric spaces",
  "authors": [
    "Ursula Hamenstädt"
  ],
  "comment": "5 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $\\Gamma$ be a finitely generated group which admits an action by homeomorphisms on a compact metrizable space $X$. We show that there is a metric on $X$ defining the original topology such that for this metric, the action is by bi-Lipschitz transformations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-30T16:47:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57S05"
    ],
    "keywords": [
      "finitely generated group",
      "compact metric spaces",
      "compact metrizable space",
      "original topology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}