{
  "id": "1005.2250",
  "version": "v2",
  "published": "2010-05-13T02:45:55.000Z",
  "updated": "2010-10-28T12:15:04.000Z",
  "title": "Point regular groups of automorphisms of generalised quadrangles",
  "authors": [
    "John Bamberg",
    "Michael Giudici"
  ],
  "comment": "some minor changes (including to title) after referee's comments",
  "doi": "10.1016/j.jcta.2010.11.004",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the point regular groups of automorphisms of some of the known generalised quadrangles. In particular we determine all point regular groups of automorphisms of the thick classical generalised quadrangles. We also construct point regular groups of automorphisms of the generalised quadrangle of order $(q-1,q+1)$ obtained by Payne derivation from the classical symplectic quadrangle $\\mathsf{W}(3,q)$. For $q=p^f$ with $f\\geq 2$ we obtain at least two nonisomorphic groups when $p\\geq 5$ and at least three nonisomorphic groups when $p=2$ or $3$. Our groups include nonabelian 2-groups, groups of exponent 9 and nonspecial $p$-groups. We also enumerate all point regular groups of automorphisms of some small generalised quadrangles.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-28T12:15:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E12",
      "20B15",
      "05E20"
    ],
    "keywords": [
      "automorphisms",
      "nonisomorphic groups",
      "construct point regular groups",
      "thick classical generalised quadrangles",
      "payne derivation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.2250B"
    }
  }
}