{
  "id": "math/0310466",
  "version": "v2",
  "published": "2003-10-29T23:42:00.000Z",
  "updated": "2004-08-02T16:00:26.000Z",
  "title": "Seesaw words in Thompson's group F",
  "authors": [
    "Sean Cleary",
    "Jennifer Taback"
  ],
  "comment": "11 pages, 6 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We describe a family of words in Thompson's group F which present a challenge to the question of finding canonical minimal length representatives, and which show that F is not combable by geodesics. These words have the property that there are only two possible suffixes of long lengths for geodesic paths to the word from the identity; one is of the form $g^k$ and the other of the form $g^{-k}$ where g is a generator of the group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-08-02T16:00:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "thompsons group",
      "seesaw words",
      "finding canonical minimal length representatives",
      "long lengths",
      "geodesic paths"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10466C"
    }
  }
}