{
  "id": "0904.2626",
  "version": "v2",
  "published": "2009-04-17T04:05:10.000Z",
  "updated": "2009-04-21T17:47:03.000Z",
  "title": "The Free Group of Rank 2 is a Limit of Thompson's Group F",
  "authors": [
    "Matthew G. Brin"
  ],
  "comment": "19 pages, 19 figures",
  "doi": "10.4171/GGD/90",
  "categories": [
    "math.GR"
  ],
  "abstract": "We show that the free group of rank 2 is a limit of 2-markings of Thompson's group F in the space of all 2-marked groups. More specifically, we find a sequence of generating pairs for F so that as one goes out the sequence, the length of the shortest relation satisfied by the generating pair goes to infinity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-21T17:47:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F69",
      "20F05",
      "20F38"
    ],
    "keywords": [
      "thompsons group",
      "free group",
      "generating pair",
      "shortest relation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.2626B"
    }
  }
}