{
  "id": "math/0001186",
  "version": "v1",
  "published": "2000-01-28T00:00:00.000Z",
  "updated": "2000-01-28T00:00:00.000Z",
  "title": "Combing Euclidean buildings",
  "authors": [
    "Gennady A. Noskov"
  ],
  "comment": "32 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol4/paper2.abs.html",
  "journal": "Geom. Topol. 4 (2000), 85-116",
  "categories": [
    "math.GR"
  ],
  "abstract": "For an arbitrary Euclidean building we define a certain combing, which satisfies the `fellow traveller property' and admits a recursive definition. Using this combing we prove that any group acting freely, cocompactly and by order preserving automorphisms on a Euclidean building of one of the types A_n,B_n,C_n admits a biautomatic structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-01-28T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F32",
      "20F10"
    ],
    "keywords": [
      "combing euclidean buildings",
      "fellow traveller property",
      "arbitrary euclidean",
      "biautomatic structure",
      "order preserving automorphisms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}