{
  "id": "0912.3645",
  "version": "v2",
  "published": "2009-12-18T11:10:45.000Z",
  "updated": "2011-02-02T12:55:37.000Z",
  "title": "On minimal finite quotients of outer automorphism groups of free groups",
  "authors": [
    "Mattia Mecchia",
    "Bruno Zimmermann"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that, for n=3 and 4, the minimal nonabelian finite factor group of the outer automorphism group Out F_n of a free group of rank n is the linear group PSL_n(Z_2) (conjecturally, this may remain true for arbitrary rank n > 2). We also discuss some computational results on low index subgroups of Aut F_n and Out F_n, for n = 3 and 4, using presentations of these groups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-02T12:55:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E05",
      "20F28",
      "57M07"
    ],
    "keywords": [
      "outer automorphism group",
      "minimal finite quotients",
      "free group",
      "minimal nonabelian finite factor group",
      "low index subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.3645M"
    }
  }
}