{
  "abstract": "Let $\\mathcal{G}$ be a finite connected simple graph with at least two vertices. We construct a finite regular hypertope $Γ$ whose diagram is the graph $\\mathcal{G}$ with every edge labelled by $4$, and for which $Cor(Γ)/Aut(Γ) \\cong Aut(\\mathcal{G})$. This shows that any possible group of diagram symmetries can be realized by the correlations of a hypertope. The construction uses a group generated by involutions, with nilpotency class two, exponent four and commutator relations dictated by the defining graph.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09711",
  "author_total": 3,
  "authors": [
    {
      "name": "Dimitri Leemans"
    },
    {
      "name": "Pablo Spiga"
    },
    {
      "name": "Philippe Tranchida"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/49btdp4bagh3x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09711",
  "fulltext_url": null,
  "id": "49btdp4bagh3x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09711",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7221005338",
  "pdf_url": "https://arxiv.org/pdf/2610.09711",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/49btdp4bagh3x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09711",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09711"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Hypertopes with prescribed diagram symmetries",
  "title_text": "Hypertopes with prescribed diagram symmetries",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/49btdp4bagh3x",
  "venue": "arXiv",
  "versions": []
}