{
  "id": "math/0402166",
  "version": "v2",
  "published": "2004-02-11T00:36:32.000Z",
  "updated": "2004-07-24T14:41:08.000Z",
  "title": "Automorphisms of free groups with boundaries",
  "authors": [
    "Craig A. Jensen",
    "Nathalie Wahl"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-25.abs.html",
  "journal": "Algebr. Geom. Topol. 4 (2004) 543-569",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "The automorphisms of free groups with boundaries form a family of groups A_{n,k} closely related to mapping class groups, with the standard automorphisms of free groups as A_{n,0} and (essentially) the symmetric automorphisms of free groups as A_{0,k}. We construct a contractible space L_{n,k} on which A_{n,k} acts with finite stabilizers and finite quotient space and deduce a range for the virtual cohomological dimension of A_{n,k}. We also give a presentation of the groups and calculate their first homology group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-07-24T14:41:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F28",
      "20F05"
    ],
    "keywords": [
      "free groups",
      "first homology group",
      "finite quotient space",
      "boundaries form",
      "standard automorphisms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2166J"
    }
  }
}