{
  "id": "2303.18035",
  "version": "v1",
  "published": "2023-03-31T13:10:52.000Z",
  "updated": "2023-03-31T13:10:52.000Z",
  "title": "On isometries of twin buildings",
  "authors": [
    "Sebastian Bischof",
    "Anton Chosson",
    "Bernhard Mühlherr"
  ],
  "comment": "14 pages",
  "doi": "10.1007/s13366-020-00524-5",
  "categories": [
    "math.GR"
  ],
  "abstract": "A twin building consists of two buildings that are twinned by a codistance function. We prove that the local structure of a twin building uniquely determines the two buildings up to isomorphism. This has been known for twin buildings satisfying a technical condition (co).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-31T13:10:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E42",
      "51E24"
    ],
    "keywords": [
      "isometries",
      "twin building consists",
      "codistance function",
      "local structure",
      "twin building uniquely determines"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}