{
  "abstract": "A finite group $G$ is called a DCI-group provided any two Cayley digraphs $Cay(G,S)$ and $Cay(G,T)$ are isomorphic iff the two connection sets $S$ and $T$ are images of each other via automorphisms of the group $G$. Building on the vast literature on CI- and DCI-groups we present an updated list of possible DCI-groups. In addition, we give an alternative proof that does not rely on deep results from group theory. We also point out the three most important open problems related to the classification of DCI-groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33692",
  "author_total": 1,
  "authors": [
    {
      "name": "Péter P. Pálfy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e63a9h7dzcm50.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33692",
  "fulltext_url": null,
  "id": "e63a9h7dzcm50",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33692",
  "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": "W7223827404",
  "pdf_url": "https://arxiv.org/pdf/2610.33692",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e63a9h7dzcm50.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.33692",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33692"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "On the isomorphism problem of Cayley digraphs",
  "title_text": "On the isomorphism problem of Cayley digraphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/e63a9h7dzcm50",
  "venue": "arXiv",
  "versions": []
}