{
  "id": "0801.0875",
  "version": "v3",
  "published": "2008-01-06T16:55:28.000Z",
  "updated": "2008-05-15T00:37:44.000Z",
  "title": "Groups not acting on manifolds",
  "authors": [
    "David Fisher",
    "Lior Silberman"
  ],
  "comment": "References added, minor changes",
  "categories": [
    "math.DS",
    "math.DG",
    "math.GR"
  ],
  "abstract": "In this article we collect a series of observations that constrain actions of many groups on compact manifolds. In particular, we show that \"generic\" finitely generated groups have no smooth volume preserving actions on compact manifolds while also producing many finitely presented, torsion free groups with the same property.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-05-15T00:37:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C85",
      "53C24"
    ],
    "keywords": [
      "compact manifolds",
      "smooth volume preserving actions",
      "torsion free groups",
      "constrain actions",
      "finitely generated groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0875F"
    }
  }
}