{
  "id": "0704.3411",
  "version": "v2",
  "published": "2007-04-25T17:06:27.000Z",
  "updated": "2007-05-05T18:53:23.000Z",
  "title": "Twisted conjugacy classes in R. Thompson's group F",
  "authors": [
    "Collin Bleak",
    "Alexander Fel'shtyn",
    "Daciberg L. Gonçalves"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "In this short article, we prove that any automorphism of the R. Thompson's group $F$ has infinitely many twisted conjugacy classes. The result follows from the work of Matthew Brin, together with a standard facts on R. Thompson's group $F$, and elementary properties of the Reidemeister numbers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-05T18:53:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E45",
      "37C25",
      "55M20"
    ],
    "keywords": [
      "twisted conjugacy classes",
      "thompsons group",
      "short article",
      "matthew brin",
      "standard facts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.3411B"
    }
  }
}