{
  "id": "math/0606714",
  "version": "v1",
  "published": "2006-06-28T13:54:21.000Z",
  "updated": "2006-06-28T13:54:21.000Z",
  "title": "Do manifolds have little symmetry?",
  "authors": [
    "Volker Puppe"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "This note is surveying certain aspects (including recent results) of the following problem stated by F.Raymond and R.Schultz: ''It is generally felt that a manifold 'chosen at random' will have little symmetry. Can this intuitive notion be made more precise? Does there exist a closed simply connected manifold, on which no finite group acts effectively? (A weaker question, no involution?)''",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-28T13:54:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57S17",
      "55N91"
    ],
    "keywords": [
      "little symmetry",
      "manifold chosen",
      "finite group acts",
      "weaker question",
      "involution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6714P"
    }
  }
}