{
  "id": "math/0701601",
  "version": "v2",
  "published": "2007-01-22T08:07:39.000Z",
  "updated": "2010-03-07T19:55:48.000Z",
  "title": "Limits of Thompson's group F",
  "authors": [
    "Roland Zarzycki"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let F be the Thompson's group. We study the structure of F-limit groups. Consider a sequence of groups marked by three elements, each isomorphic to F. Assume that the this sequence is convergent in the space of marked groups. We prove that no HNN-extension of F over a cyclic subgroup occurs as an F-limit group of such a sequence.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-07T19:55:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E18"
    ],
    "keywords": [
      "thompsons group",
      "f-limit group",
      "cyclic subgroup occurs",
      "marked groups",
      "hnn-extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1601Z"
    }
  }
}