{
  "id": "0811.3303",
  "version": "v1",
  "published": "2008-11-20T10:12:44.000Z",
  "updated": "2008-11-20T10:12:44.000Z",
  "title": "Compressed word problems in HNN-extensions and amalgamated products",
  "authors": [
    "Niko Haubold",
    "Markus Lohrey"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "It is shown that the compressed word problem for an HNN-extension with base group H and finite associated subgroups is polynomial time Turing-reducible to the compressed word problem for H. An analogous result for amalgamated free products is shown as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-20T10:12:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F10",
      "68Q17"
    ],
    "keywords": [
      "compressed word problem",
      "amalgamated products",
      "hnn-extension",
      "amalgamated free products",
      "base group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.3303H"
    }
  }
}