{
  "id": "1802.07336",
  "version": "v1",
  "published": "2018-02-20T21:25:33.000Z",
  "updated": "2018-02-20T21:25:33.000Z",
  "title": "Minimal group determinants and the Lind-Lehmer problem for dihedral groups",
  "authors": [
    "Ton Boerkoel",
    "Christopher Pinner"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We find the minimal non-trivial integer variable group determinant for any dihedral group of order less than $3.79\\times 10^{47}$. We think of this as the Lind-Lehmer problem for the dihedral group. We give a complete description of the determinants for some dihedral groups including $D_{2p}$ and $D_{4p}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-20T21:25:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dihedral group",
      "minimal group determinants",
      "lind-lehmer problem",
      "minimal non-trivial integer variable group",
      "non-trivial integer variable group determinant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}