{
  "abstract": "A finite group G is called a DCI-group if any two isomorphic Cayley digraphs of G are also isomorphic via an automorphism of G . If G is a non-abelian generalised dihedral DCI-group, then Dobson, Muzychuk, and Spiga proved that G must be a dihedral group of square-free order (Ars Math. Contemp., 2022). In this paper, we prove that the converse statement also holds, i.e. all dihedral groups of square-free order are DCI-groups.",
  "abstract_shown": true,
  "affiliations": [
    "University of Primorska, UP IAM and UP FAMNIT, Muzejski trg 2 and Glagoljaška 8, SI-6000 Koper (Slovenia)",
    "Eötvös Loránd University, Department of Algebra and Number Theory, Pázmány Péter sétány 1/C, H-1117 Budapest (Hungary)"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "István Kovács"
    },
    {
      "affs": [
        1
      ],
      "name": "Gábor Somlai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/90zyc0pev9sq3.bib",
  "cited_by": 0,
  "doi": "10.5802/alco.514",
  "fulltext_url": null,
  "id": "90zyc0pev9sq3",
  "issns": [
    "2589-5486"
  ],
  "landing_url": "https://alco.centre-mersenne.org/articles/10.5802/alco.514/",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W4417409176",
  "pdf_url": "https://alco.centre-mersenne.org/item/10.5802/alco.514.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": "MathDoc/Centre Mersenne",
  "ris": "https://research.draconitic.com/paper/90zyc0pev9sq3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:25Z",
      "native_id": "10.5802/alco.514",
      "source": "crossref",
      "url": "https://alco.centre-mersenne.org/articles/10.5802/alco.514/"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Finite Group Theory Research",
      "subfield": "combinatorics"
    }
  ],
  "title": "Dihedral groups of square-free order are DCI-groups",
  "title_text": "Dihedral groups of square-free order are DCI-groups",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:25Z",
  "url": "https://research.draconitic.com/paper/90zyc0pev9sq3",
  "venue": "Algebraic Combinatorics",
  "versions": []
}