{
  "id": "0710.4593",
  "version": "v4",
  "published": "2007-10-25T00:56:21.000Z",
  "updated": "2007-12-02T15:11:53.000Z",
  "title": "A new proof of Gromov's theorem on groups of polynomial growth",
  "authors": [
    "Bruce Kleiner"
  ],
  "categories": [
    "math.GR",
    "math.DG",
    "math.MG"
  ],
  "abstract": "We give a new proof of Gromov's theorem that any finitely generated group of polynomial growth has a finite index nilpotent subgroup. Unlike the original proof, it does not rely on the Montgomery-Zippin-Yamabe structure theory of locally compact groups.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-12-02T15:11:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F69",
      "20F67",
      "20F18"
    ],
    "keywords": [
      "gromovs theorem",
      "polynomial growth",
      "finite index nilpotent subgroup",
      "montgomery-zippin-yamabe structure theory",
      "locally compact groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.4593K"
    }
  }
}