{
  "abstract": "In this article, we introduce rotation groups as a common generalisation of Coxeter groups and graph products of groups. We characterise these groups algebraically by presentations ( periagroups ), and we propose a combinatorial geometry ( mediangle graphs ) to study them. As an application, we give natural and unified proofs for several results that hold for both Coxeter groups and graph products of groups.",
  "abstract_shown": true,
  "affiliations": [
    "University of Montpellier, France",
    "Institut de Mathématiques de Marseille"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Anthony Genevois",
      "orcid": "0000-0001-6552-4030"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/25xqr9q62qgeq.bib",
  "cited_by": 13,
  "doi": "10.4171/ggd/968",
  "fulltext_url": null,
  "id": "25xqr9q62qgeq",
  "issns": [
    "1661-7207",
    "1661-7215"
  ],
  "landing_url": "https://doi.org/10.4171/ggd/968",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
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  "openalex": "W4311518149",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": "European Mathematical Society",
  "ris": "https://research.draconitic.com/paper/25xqr9q62qgeq.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T13:20:36Z",
      "native_id": "W4311518149",
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      "url": "https://doi.org/10.4171/ggd/968"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometric and Algebraic Topology",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Rotation groups, mediangle graphs, and periagroups: A unified point of view on Coxeter groups and graph products of groups",
  "title_text": "Rotation groups, mediangle graphs, and periagroups: A unified point of view on Coxeter groups and graph products of groups",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:00Z",
  "url": "https://research.draconitic.com/paper/25xqr9q62qgeq",
  "venue": "Groups Geometry and Dynamics",
  "versions": []
}