{
  "id": "1807.09118",
  "version": "v1",
  "published": "2018-07-24T13:59:54.000Z",
  "updated": "2018-07-24T13:59:54.000Z",
  "title": "Cameron-Liebler line classes of ${\\rm PG}(3,q)$ admitting ${\\rm PGL}(2,q)$",
  "authors": [
    "Antonio Cossidente",
    "Francesco Pavese"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we describe an infinite family of Cameron-Liebler line classes of ${\\rm PG}(3,q)$ with parameter $(q^2 + 1)/2$, $q\\equiv 1\\pmod{4}$. The example obtained admits ${\\rm PGL}(2,q)$ as an automorphism group and it is shown to be isomorphic to none of the infinite families known so far whenever $q \\ge 9$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-24T13:59:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cameron-liebler line classes",
      "automorphism group",
      "infinite family",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}