{
  "id": "2208.13023",
  "version": "v1",
  "published": "2022-08-27T14:15:26.000Z",
  "updated": "2022-08-27T14:15:26.000Z",
  "title": "On $m$-ovoids of finite classical polar spaces with an irreducible transitive automorphism group",
  "authors": [
    "Tao Feng",
    "Weicong Li",
    "Rao Tao"
  ],
  "comment": "Comments are welcome. Submitted",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we classify the $m$-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite families of transitive $m$-ovoids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-27T14:15:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E20",
      "05B25",
      "51A50"
    ],
    "keywords": [
      "finite classical polar spaces",
      "irreducible transitive automorphism group",
      "automorphism group acting irreducibly",
      "ambient vector space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}