{
  "id": "1603.04013",
  "version": "v1",
  "published": "2016-03-13T09:49:34.000Z",
  "updated": "2016-03-13T09:49:34.000Z",
  "title": "Finite orbits for nilpotent actions on the torus",
  "authors": [
    "Sebastião Firmo",
    "Javier Ribón"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "A homeomorphism of the $2$-torus with Lefschetz number different from zero has a fixed point. We give a version of this result for nilpotent groups of diffeomorphisms. We prove that a nilpotent group of $2$-torus diffeomorphims has finite orbits when the group has some element with Lefschetz number different from zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-13T09:49:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "37E45",
      "37A15",
      "37A05",
      "54H20",
      "55M20",
      "37C25"
    ],
    "keywords": [
      "finite orbits",
      "nilpotent actions",
      "lefschetz number",
      "nilpotent group",
      "torus diffeomorphims"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160304013F"
    }
  }
}