{
  "id": "math/0508353",
  "version": "v5",
  "published": "2005-08-18T17:34:15.000Z",
  "updated": "2007-04-08T00:24:23.000Z",
  "title": "Growth of groups and diffeomorphisms of the interval",
  "authors": [
    "Andrés Navas"
  ],
  "comment": "25 pages",
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "We prove that the so called Grigorchuk-Maki group of intermadiate growth can be seen as a group of $C^1$ diffeomorphisms of the interval. On the other hand, we prove that every group of $C^{1+\\alpha}$ diffeomorphisms of the interval having subexponential growth is almost nilpotent.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2007-04-08T00:24:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B27",
      "37E10",
      "37C85"
    ],
    "keywords": [
      "diffeomorphisms",
      "grigorchuk-maki group",
      "intermadiate growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8353N"
    }
  }
}