{
  "id": "2303.18041",
  "version": "v1",
  "published": "2023-03-31T13:20:36.000Z",
  "updated": "2023-03-31T13:20:36.000Z",
  "title": "Isometries of wall-connected twin buildings",
  "authors": [
    "Sebastian Bischof",
    "Bernhard Mühlherr"
  ],
  "comment": "20 pages, preliminary version, to appear in \"Advances in Geometry\"",
  "categories": [
    "math.GR"
  ],
  "abstract": "We introduce the notion of a wall-connected twin building and show that the local-to-global principle holds for these twin buildings. As each twin building satisfying Condition (co) (introduced in [7]) is wall-connected, we obtain a strengthening of the main result of [7] that covers also the thick irreducible affne twin buildings of rank at least 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-31T13:20:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E42",
      "51E24"
    ],
    "keywords": [
      "wall-connected twin building",
      "thick irreducible affne twin buildings",
      "isometries",
      "local-to-global principle holds",
      "twin building satisfying condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}