{
  "id": "1009.6109",
  "version": "v3",
  "published": "2010-09-30T12:07:35.000Z",
  "updated": "2011-07-06T20:37:01.000Z",
  "title": "Unitals in $PG(2,q^2)$ with a large 2-point stabiliser",
  "authors": [
    "L. Giuzzi",
    "G. Korchmáros"
  ],
  "comment": "Revised version - clarified the case mu\\neq\\lambda^{q+1} - 7 pages",
  "journal": "Discrete Math. 312 (3): 532-535 (2012)",
  "doi": "10.1016/j.disc.2011.03.017",
  "categories": [
    "math.CO",
    "math.AG",
    "math.GR"
  ],
  "abstract": "Let $\\cU$ be a unital embedded in the Desarguesian projective plane $\\PG(2,q^2)$. Write $M$ for the subgroup of $\\PGL(3,q^2)$ which preserves $\\cU$. We show that $\\cU$ is classical if and only if $\\cU$ has two distinct points $P,Q$ for which the stabiliser $G=M_{P,Q}$ has order $q^2-1$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-07-06T20:37:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E20",
      "05B25"
    ],
    "keywords": [
      "stabiliser",
      "desarguesian projective plane",
      "distinct points"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.6109G"
    }
  }
}