{
  "id": "0909.3660",
  "version": "v1",
  "published": "2009-09-20T23:13:24.000Z",
  "updated": "2009-09-20T23:13:24.000Z",
  "title": "Automorphisms of the graph of free splittings",
  "authors": [
    "Javier Aramayona",
    "Juan Souto"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GR",
    "math.GN"
  ],
  "abstract": "We prove that every simplicial automorphism of the free splitting graph of a free group of at least rank 3 is induced by an outer automorphism of the free group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-20T23:13:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free group",
      "simplicial automorphism",
      "free splitting graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3660A"
    }
  }
}