{
  "id": "1609.02244",
  "version": "v1",
  "published": "2016-09-08T02:18:42.000Z",
  "updated": "2016-09-08T02:18:42.000Z",
  "title": "On minimality of two-bridge knots",
  "authors": [
    "Fumikazu Nagasato",
    "Masaaki Suzuki",
    "Anh T. Tran"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "A knot is called minimal if its knot group admits epimorphisms onto the knot groups of only the trivial knot and itself. In this paper, we determine which two-bridge knot $\\mathfrak{b}(p,q)$ is minimal where $q \\leq 6$ or $p \\leq 100$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-08T02:18:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "two-bridge knot",
      "minimality",
      "knot group admits epimorphisms",
      "trivial knot"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}