{
  "id": "2505.10650",
  "version": "v1",
  "published": "2025-05-15T18:46:51.000Z",
  "updated": "2025-05-15T18:46:51.000Z",
  "title": "Subgroups of a free group with every growth rate",
  "authors": [
    "Michail Louvaris",
    "Daniel T. Wise",
    "Gal Yehuda"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "For every $\\alpha \\in [1,2r-1]$, we show there exists a subgroup $H<F_r$ whose growth rate is $\\alpha$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-15T18:46:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "growth rate",
      "free group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}