{
  "id": "1107.1332",
  "version": "v1",
  "published": "2011-07-07T09:51:26.000Z",
  "updated": "2011-07-07T09:51:26.000Z",
  "title": "Generalized presentations of infinite groups, in particular of $Aut(F_ω)$",
  "authors": [
    "Oleg Bogopolski",
    "Wilhelm Singhof"
  ],
  "comment": "49 pages, 4 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We develop a theory of generalized presentations of groups. We give generalized presentations of the symmetric group $\\Sigma(X)$ for an arbitrary set $X$ and of the automorphism group of the free group of countable rank, $Aut(F_{\\omega})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-07T09:51:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05",
      "20F28",
      "20E05",
      "20E36"
    ],
    "keywords": [
      "generalized presentations",
      "infinite groups",
      "symmetric group",
      "arbitrary set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.1332B"
    }
  }
}