{
  "id": "2209.08720",
  "version": "v1",
  "published": "2022-09-19T02:40:38.000Z",
  "updated": "2022-09-19T02:40:38.000Z",
  "title": "Supersolvable closures of finitely generated subgroups of the free group",
  "authors": [
    "Lida Chen",
    "Jianchun Wu"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove the pro-supersolvable closure of a finitely generated subgroup of the free group is finitely generated. It extends similar results for pro-$p$ closures proved by Ribes-Zalesskii and pro-Nilpotent closures proved by Margolis-Sapir-Weil.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-19T02:40:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E05",
      "20F16",
      "20F10"
    ],
    "keywords": [
      "finitely generated subgroup",
      "free group",
      "supersolvable closures",
      "extends similar results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}