{
  "id": "0811.3551",
  "version": "v1",
  "published": "2008-11-21T14:40:26.000Z",
  "updated": "2008-11-21T14:40:26.000Z",
  "title": "A Note on Coincidence Isometries of Modules in Euclidean Space",
  "authors": [
    "Christian Huck"
  ],
  "comment": "8 pages",
  "journal": "Z. Kristallogr. 224 (2009), 341-344",
  "doi": "10.1524/zkri.2009.1148",
  "categories": [
    "math.MG"
  ],
  "abstract": "It is shown that the coincidence isometries of certain modules in Euclidean $n$-space can be decomposed into a product of at most $n$ coincidence reflections defined by their non-zero elements. This generalizes previous results obtained for lattices to situations that are relevant in quasicrystallography.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-21T14:40:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C07",
      "52C23",
      "11H06",
      "11R04"
    ],
    "keywords": [
      "coincidence isometries",
      "euclidean space",
      "non-zero elements",
      "quasicrystallography",
      "generalizes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Zeitschrift fur Kristallographie",
      "year": 2009,
      "month": "Jul",
      "volume": 224,
      "number": 7,
      "pages": 341
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009ZK....224..341H"
    }
  }
}