{
  "abstract": "For an odd prime power $q$, a BLT-set $\\mathcal B$ is a set of $(q+1)$ points of $\\mathcal Q(4,q)$ such that every point of $\\mathcal Q(4,q)$ is collinear with at most two points of $\\mathcal B$. We complete the classification of BLT-sets of $\\mathcal Q(4,q)$ admitting a non-solvable transitive automorphism group. Nelson and Penttila completed the classification of BLT-sets $\\mathcal B$ with a non-solvable transitive automorphism group acting irreducibly on the underlying $5$-dimensional vector space. In this paper, we prove that a BLT-set with a non-solvable transitive full automorphism group acting reducibly on the underlying $5$-dimensional vector space is either a classical BLT-set or a Kantor semifield BLT-set.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04876",
  "author_total": 2,
  "authors": [
    {
      "name": "Weicong Li"
    },
    {
      "name": "Qing Xiang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/crecpy16thjtw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04876",
  "fulltext_url": null,
  "id": "crecpy16thjtw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04876",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7220698937",
  "pdf_url": "https://arxiv.org/pdf/2610.04876",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/crecpy16thjtw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04876",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04876"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The classification of non-solvable transitive BLT-sets of $\\mathcal{Q}(4,q)$",
  "title_text": "The classification of non-solvable transitive BLT-sets of 𝒬(4,q)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/crecpy16thjtw",
  "venue": "arXiv",
  "versions": []
}