{
  "id": "1406.6711",
  "version": "v2",
  "published": "2014-06-25T20:31:23.000Z",
  "updated": "2015-01-23T16:57:51.000Z",
  "title": "Automorphisms of graphs of cyclic splittings of free groups",
  "authors": [
    "Camille Horbez",
    "Richard D. Wade"
  ],
  "comment": "22 pages, 5 figures. Small modifications. To appear in Geometriae Dedicata",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that any isometry of the graph of cyclic splittings of a finitely generated free group $F_N$ of rank $N\\ge 3$ is induced by an outer automorphism of $F_N$. The same statement also applies to the graphs of maximally-cyclic splittings, and of very small splittings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-25T20:31:23.000Z",
      "title": "Automorphisms of graphs of cyclic splittings of $F_N$",
      "comment": "21 pages, 5 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-23T16:57:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E36",
      "20F65",
      "20E05",
      "20E08"
    ],
    "keywords": [
      "maximally-cyclic splittings",
      "finitely generated free group",
      "outer automorphism",
      "small splittings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.6711H"
    }
  }
}