{
  "id": "0711.1014",
  "version": "v1",
  "published": "2007-11-07T06:09:44.000Z",
  "updated": "2007-11-07T06:09:44.000Z",
  "title": "Finite index subgroups of R. Thompson's group F",
  "authors": [
    "Collin Bleak",
    "Bronlyn Wassink"
  ],
  "comment": "26 pages, 8 figures",
  "categories": [
    "math.GR",
    "math.GN"
  ],
  "abstract": "The authors classify the finite index subgroups of R. Thompson's group $F$. All such groups that are not isomorphic to $F$ are non-split extensions of finite cyclic groups by $F$. The classification describes precisely which finite index subgroups of $F$ are isomorphic to $F$, and also separates the isomorphism classes of the finite index subgroups of $F$ which are not isomorphic to $F$ from each other; characterizing the structure of the extensions using properties of the structure of the finite index subgroups of $Z\\times Z$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-07T06:09:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F60"
    ],
    "keywords": [
      "finite index subgroups",
      "thompsons group",
      "isomorphic",
      "finite cyclic groups",
      "isomorphism classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.1014B"
    }
  }
}