{
  "id": "math/0101010",
  "version": "v1",
  "published": "2001-01-01T18:11:22.000Z",
  "updated": "2001-01-01T18:11:22.000Z",
  "title": "Reidemeister number of any automorphism of a Gromov hyperbolic group is infinite",
  "authors": [
    "Alexander Fel'shtyn"
  ],
  "comment": "10 pages, Latex",
  "categories": [
    "math.GR",
    "math.AT",
    "math.DG"
  ],
  "abstract": "We show that the number of twisted conjugacy classes is infinite for any automorphism of non-elementary, Gromov hyperbolic group . An analog of Selberg theory for twisted conjugacy classes is proposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-01-01T18:11:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F32",
      "55M20",
      "58F20"
    ],
    "keywords": [
      "gromov hyperbolic group",
      "reidemeister number",
      "automorphism",
      "twisted conjugacy classes",
      "selberg theory"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1010F"
    }
  }
}