{
  "id": "0905.0095",
  "version": "v1",
  "published": "2009-05-01T14:26:14.000Z",
  "updated": "2009-05-01T14:26:14.000Z",
  "title": "Morse theory and conjugacy classes of finite subgroups II",
  "authors": [
    "Noel Brady",
    "Matt Clay",
    "Pallavi Dani"
  ],
  "comment": "18 pages, 7 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We construct a hyperbolic group with a finitely presented subgroup, which has infinitely many conjugacy classes of finite-order elements. We also use a version of Morse theory with high dimensional horizontal cells and use handle cancellation arguments to produce other examples of subgroups of CAT(0) groups with infinitely many conjugacy classes of finite-order elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-01T14:26:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F67",
      "20E45"
    ],
    "keywords": [
      "conjugacy classes",
      "morse theory",
      "finite subgroups",
      "finite-order elements",
      "high dimensional horizontal cells"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.0095B"
    }
  }
}