{
  "id": "1708.06790",
  "version": "v1",
  "published": "2017-08-22T19:19:42.000Z",
  "updated": "2017-08-22T19:19:42.000Z",
  "title": "Matroids with no $U_{2,n}$-minor and many hyperplanes",
  "authors": [
    "Adam Brown",
    "Peter Nelson"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We construct, for every $r \\ge 3$ and every prime power $q > 10$, a rank-$r$ matroid with no $U_{2,q+2}$-minor, having more hyperplanes than the rank-$r$ projective geometry over $\\mathrm{GF}(q)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-22T19:19:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperplanes",
      "prime power"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}