{
  "id": "1208.3652",
  "version": "v2",
  "published": "2012-08-17T18:16:31.000Z",
  "updated": "2012-08-22T12:08:38.000Z",
  "title": "A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups",
  "authors": [
    "Christopher H. Cashen"
  ],
  "comment": "11 pages, v2 added a reference",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give a geometric proof of a well known theorem that describes splittings of a free group as an amalgamated product or HNN extension over the integers. The argument generalizes to give a similar description of splittings of a virtually free group over a virtually cyclic group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-22T12:08:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20E05"
    ],
    "keywords": [
      "geometric proof",
      "structure theorem",
      "cyclic splittings",
      "virtually cyclic group",
      "virtually free group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.3652C"
    }
  }
}