{
  "id": "1611.04314",
  "version": "v1",
  "published": "2016-11-14T10:08:26.000Z",
  "updated": "2016-11-14T10:08:26.000Z",
  "title": "An Explicit Polynomial with Higman-Sims Group as Galois Group over Q(t)",
  "authors": [
    "Dominik Barth",
    "Andreas Wenz"
  ],
  "comment": "5 pages, 1 figure",
  "categories": [
    "math.NT",
    "math.GR"
  ],
  "abstract": "We compute explicit polynomials having the sporadic Higman-Sims group HS and its automorphism group Aut(HS) as Galois groups over the rational function field Q(t).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-14T10:08:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12F12"
    ],
    "keywords": [
      "galois group",
      "explicit polynomial",
      "sporadic higman-sims group hs",
      "rational function field",
      "automorphism group aut"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}