{
  "abstract": "We prove the assertion of Kourovka Problem 15.77 for every finite number of colours. If G is an infinite abelian group and α < |G|, every finite colouring of G has a monochromatic set S of cardinality exactly α such that 2g − S = S for some g &isin; G. For infinite α the argument uses a free-set lemma and a finite-colour directed-path lemma at α⁺; finite α follows from a ternary-cube embedding and the Hales–Jewett theorem.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Achyuth Jayadevan",
      "orcid": "0009-0008-8745-4078"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cky1542sh1gc5.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23420558",
  "fulltext_url": null,
  "id": "cky1542sh1gc5",
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  "landing_url": "https://zenodo.org/records/23420558",
  "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": null,
  "pdf_url": "https://zenodo.org/api/records/23420558/files/kourovka-15-77-paper.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cky1542sh1gc5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "23420558",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23420558"
    }
  ],
  "subjects": [],
  "title": "Monochromatic symmetric subsets in finite colourings of infinite abelian groups",
  "title_text": "Monochromatic symmetric subsets in finite colourings of infinite abelian groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:39Z",
  "url": "https://research.draconitic.com/paper/cky1542sh1gc5",
  "venue": "Zenodo",
  "versions": []
}