{
  "abstract": "A point-cyclic resolution of a 2-(v,k,1) design is invariant under a cyclic automorphism group of order v. Point-cyclic resolutions are of interest for their relations to many other combinatorial structures, and for their various applications. Resolutions of 2-(v,4,1) designs can exist if v≡4(mod 12). There are six point-cyclic resolutions of 2-(v,4,1) designs with v<64. Before the present study, v=64 was the smallest v for which neither theoretical nor constructive results on the existence of point-cyclic resolutions of 2-(v,4,1) designs were known. We establish that there are 258 point-cyclic resolutions of 2-(64,4,1) designs. The investigation is computer-aided.",
  "abstract_shown": true,
  "affiliations": [
    "Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria",
    "Centre of Excellence in Informatics and Information and Communication Technologies, 1113 Sofia, Bulgaria"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Svetlana Topalova",
      "orcid": "0000-0003-3821-4672"
    },
    {
      "affs": [
        0
      ],
      "name": "Stela Zhelezova",
      "orcid": "0000-0002-9669-6916"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9610xwjzjwssw.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100762",
  "fulltext_url": null,
  "id": "9610xwjzjwssw",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/762",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7221679325",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/9610xwjzjwssw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100762",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/762"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Finite Group Theory Research",
      "subfield": "combinatorics"
    }
  ],
  "title": "Point-Cyclic Resolutions of 2-(64, 4, 1) Designs",
  "title_text": "Point-Cyclic Resolutions of 2-(64, 4, 1) Designs",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/9610xwjzjwssw",
  "venue": "Axioms",
  "versions": []
}