{
  "id": "2212.06421",
  "version": "v1",
  "published": "2022-12-13T08:11:07.000Z",
  "updated": "2022-12-13T08:11:07.000Z",
  "title": "Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups",
  "authors": [
    "Anthony Genevois"
  ],
  "comment": "39 pages, comments are welcome!",
  "categories": [
    "math.GR",
    "math.CO",
    "math.MG"
  ],
  "abstract": "In this article, we introduce rotation groups as a common generalisation of Coxeter groups and graph products of groups (including right-angled Artin groups). We characterise algebraically these groups 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-13T08:11:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67",
      "05C25"
    ],
    "keywords": [
      "coxeter groups",
      "graph products",
      "mediangle graphs",
      "rotation groups",
      "unified point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}