{
  "id": "0709.1987",
  "version": "v3",
  "published": "2007-09-13T03:57:11.000Z",
  "updated": "2008-04-25T09:16:01.000Z",
  "title": "Conjugacy, roots, and centralizers in Thompson's group $F$",
  "authors": [
    "Nick Gill",
    "Ian Short"
  ],
  "comment": "11 pages. The exposition has been rewritten. We have added an extra section which analyses the structure of roots and centralizers; the title has been changed to reflect this. The paper has been submitted for publication",
  "categories": [
    "math.GR"
  ],
  "abstract": "We complete the program begun by Brin and Squier of characterising conjugacy in Thompson's group $F$ using the standard action of $F$ as a group of piecewise linear homeomorphisms of the unit interval.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-04-25T09:16:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E45",
      "37E05"
    ],
    "keywords": [
      "thompsons group",
      "centralizers",
      "unit interval",
      "standard action",
      "piecewise linear homeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.1987G"
    }
  }
}