{
  "id": "0907.3258",
  "version": "v3",
  "published": "2009-07-20T01:17:41.000Z",
  "updated": "2010-09-07T22:32:52.000Z",
  "title": "Some geodesic problems in groups",
  "authors": [
    "Murray Elder",
    "Andrew Rechnitzer"
  ],
  "comment": "6 pages",
  "doi": "10.1515/gcc.2010.014",
  "categories": [
    "math.GR"
  ],
  "abstract": "We consider several algorithmic problems concerning geodesics in finitely generated groups. We show that the three geodesic problems considered by Miasnikov et al [arXiv:0807.1032] are polynomial-time reducible to each other. We study two new geodesic problems which arise in a previous paper of the authors and Fusy [arXiv:0902.0202] .",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-09-07T22:32:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "geodesic problems",
      "algorithmic problems concerning geodesics",
      "finitely generated groups",
      "polynomial-time"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.3258E"
    }
  }
}