{
  "id": "1304.5320",
  "version": "v2",
  "published": "2013-04-19T06:38:40.000Z",
  "updated": "2014-08-01T03:21:31.000Z",
  "title": "Growth in product replacement graphs",
  "authors": [
    "Anton Malyshev",
    "Igor Pak"
  ],
  "comment": "16 pages; revised version, accepted to Journal of Group Theory",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "We prove the exponential growth of product replacement graphs for a large class of groups. Much of our effort is dedicated to the study of product replacement graphs of Grigorchuk groups, where the problem is most difficult.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-01T03:21:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "product replacement graphs",
      "exponential growth",
      "large class",
      "grigorchuk groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.5320M"
    }
  }
}