{
  "id": "math/0605493",
  "version": "v2",
  "published": "2006-05-17T23:30:54.000Z",
  "updated": "2006-05-18T20:43:52.000Z",
  "title": "On embedding the fundamental group of a 3-manifold in one of its knot groups",
  "authors": [
    "Robert Myers"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "This paper gives necessary and sufficient conditions on a compact, connected, orientable 3-manifold M for it to contain a knot K such that M-K is irreducible and pi_1(M) embeds in pi_1(M-K). This result provides counterexamples to a conjecture of Lopes and Morales and characterizes those orientable 3-manifolds for which it is true.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-18T20:43:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57M05"
    ],
    "keywords": [
      "fundamental group",
      "knot groups",
      "sufficient conditions",
      "counterexamples",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5493M"
    }
  }
}