{
  "id": "2409.07445",
  "version": "v1",
  "published": "2024-09-11T17:51:01.000Z",
  "updated": "2024-09-11T17:51:01.000Z",
  "title": "Special Moufang sets of finite dimension",
  "authors": [
    "Matthias Grüninger"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that a special Moufang sets with abelian root subgroups derive from a quadratic Jordan division algebra if a certain finiteness condition is satisfied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-11T17:51:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12K05",
      "17C99",
      "20B07",
      "20B22",
      "20E42",
      "51E24"
    ],
    "keywords": [
      "special moufang sets",
      "finite dimension",
      "quadratic jordan division algebra",
      "finiteness condition",
      "abelian root subgroups derive"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}