{
  "abstract": "Let $G$ be a permutation group that acts $2$-transitively on the finite set $V$ and let $\\mathcal{T}=(V,T)$ be a two-graph whose automorphism group contains $G$. In this paper, we classify those strongly regular graphs $Γ$ with vertex set $V$ whose automorphism group is a transitive maximal subgroup of $G$ and whose associated two-graph is $\\mathcal{T}$. In doing so, we obtain a new family of vertex-transitive strongly regular graphs whose associated two-graph arises from $PΣL(2,q)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30330",
  "author_total": 3,
  "authors": [
    {
      "name": "Robert F. Bailey"
    },
    {
      "name": "Gábor P. Nagy"
    },
    {
      "name": "Valentino Smaldore"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ftq18q4nyh4g9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30330",
  "fulltext_url": null,
  "id": "ftq18q4nyh4g9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30330",
  "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"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7204944700",
  "pdf_url": "https://arxiv.org/pdf/2608.30330",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ftq18q4nyh4g9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.30330",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30330"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Vertex-transitive strongly regular graphs in the switching class of doubly transitive two-graphs",
  "title_text": "Vertex-transitive strongly regular graphs in the switching class of doubly transitive two-graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/ftq18q4nyh4g9",
  "venue": "arXiv",
  "versions": []
}