{
  "id": "1712.02197",
  "version": "v1",
  "published": "2017-12-06T14:29:00.000Z",
  "updated": "2017-12-06T14:29:00.000Z",
  "title": "On periodic groups of homeomorphisms of the 2-dimensional sphere",
  "authors": [
    "Jonathan Conejeros"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "We prove that every finitely-generated group of homeomorphisms of the 2-dimensional sphere all of whose elements have a finite order which is a power of 2 and so that there exists a uniform bound for the order of group elements is finite. We prove a similar result for groups of area-preserving homeomorphisms without the hypothesis that the orders of group elements are powers of 2 provided there is an element of even order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-06T14:29:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F50",
      "37B05",
      "37E30",
      "37E45",
      "57S25"
    ],
    "keywords": [
      "periodic groups",
      "group elements",
      "finite order",
      "uniform bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}