{
  "id": "math/0601231",
  "version": "v2",
  "published": "2006-01-10T22:12:42.000Z",
  "updated": "2006-03-10T06:09:39.000Z",
  "title": "On a free group of transformations defined by an automaton",
  "authors": [
    "Mariya Vorobets",
    "Yaroslav Vorobets"
  ],
  "comment": "19 pages, 4 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that three automorphisms of the rooted binary tree defined by a certain 3-state automaton generate a free non-Abelian group of rank 3.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-10T06:09:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E05",
      "20E08"
    ],
    "keywords": [
      "free group",
      "transformations",
      "free non-abelian group",
      "automaton generate",
      "rooted binary tree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1231V"
    }
  }
}