{
  "id": "0808.0109",
  "version": "v1",
  "published": "2008-08-01T12:34:26.000Z",
  "updated": "2008-08-01T12:34:26.000Z",
  "title": "Similarity versus Coincidence Rotations of Lattices",
  "authors": [
    "S. Glied",
    "M. Baake"
  ],
  "comment": "6 pages, paper presented at ICQ10 (Zurich, Switzerland)",
  "journal": "Z. Kristallogr. 223 (2008) 770-772",
  "categories": [
    "math.MG"
  ],
  "abstract": "The groups of similarity and coincidence rotations of an arbitrary lattice L in d-dimensional Euclidean space are considered. It is shown that the group of similarity rotations contains the coincidence rotations as a normal subgroup. Furthermore, the structure of the corresponding factor group is examined. If the dimension d is a prime number, this factor group is an elementary Abelian d-group. Moreover, if L is a rational lattice, the factor group is trivial (d odd) or an elementary Abelian 2-group (d even).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-01T12:34:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C07",
      "20K25"
    ],
    "keywords": [
      "coincidence rotations",
      "similarity rotations contains",
      "d-dimensional euclidean space",
      "elementary abelian d-group",
      "arbitrary lattice"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1524/zkri.2008.1054",
      "journal": "Zeitschrift fur Kristallographie",
      "year": 2008,
      "month": "Dec",
      "volume": 223,
      "number": "11-12",
      "pages": 770
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008ZK....223..770G"
    }
  }
}