{
  "id": "1108.3881",
  "version": "v1",
  "published": "2011-08-19T03:29:28.000Z",
  "updated": "2011-08-19T03:29:28.000Z",
  "title": "Sufficient Conditions for Recognizing a 3-manifold Group",
  "authors": [
    "Karoline P. Null"
  ],
  "comment": "28 pages, 18 figures",
  "categories": [
    "math.GT",
    "math.GN"
  ],
  "abstract": "In this work we ask when a group is a 3-manifold group, or more speci?cally, when does a group presentation come naturally from a Heegaard diagram for a 3-manifold? We will give some conditions for partial answers to this form of the Isomorphism Problem by addressing how the presentation associated to a diagram for a splitting is related to the fundamental group of a 3-manifold. In the process, we determine an invariant of groups (by way of group presentations) for how far such presentations are from 3-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-19T03:29:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N65",
      "57M27",
      "57M05",
      "22F50",
      "22F30",
      "20B10",
      "68W99",
      "20B40"
    ],
    "keywords": [
      "sufficient conditions",
      "group presentation come",
      "partial answers",
      "recognizing",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.3881N"
    }
  }
}