{
  "id": "0709.3802",
  "version": "v1",
  "published": "2007-09-24T16:09:20.000Z",
  "updated": "2007-09-24T16:09:20.000Z",
  "title": "Morse theory and conjugacy classes of finite subgroups",
  "authors": [
    "Noel Brady",
    "Matt Clay",
    "Pallavi Dani"
  ],
  "comment": "10 pages, 4 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We construct a CAT(0) group containing a finitely presented subgroup with infinitely many conjugacy classes of finite-order elements. Unlike previous examples (which were based on right-angled Artin groups) our ambient CAT(0) group does not contain any rank 3 free abelian subgroups. We also construct examples of groups of type F_n inside mapping class groups, Aut(F), and Out(F) which have infinitely many conjugacy classes of finite-order elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-24T16:09:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F67",
      "20E45"
    ],
    "keywords": [
      "conjugacy classes",
      "finite subgroups",
      "morse theory",
      "finite-order elements",
      "inside mapping class groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.3802B"
    }
  }
}