{
  "id": "math/0609793",
  "version": "v1",
  "published": "2006-09-28T12:09:40.000Z",
  "updated": "2006-09-28T12:09:40.000Z",
  "title": "Coincidence site modules in 3-space",
  "authors": [
    "Michael Baake",
    "Peter Pleasants",
    "Ulf Rehmann"
  ],
  "comment": "25 pages",
  "journal": "Discrete Comput. Geom. 38 (2007) 111-138",
  "doi": "10.1007/s00454-007-1327-6",
  "categories": [
    "math.MG",
    "math.CO"
  ],
  "abstract": "The coincidence site lattice (CSL) problem and its generalization to Z-modules in Euclidean 3-space is revisited, and various results and conjectures are proved in a unified way, by using maximal orders in quaternion algebras of class number 1 over real algebraic number fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-28T12:09:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C07",
      "52C23",
      "11H06",
      "11M41"
    ],
    "keywords": [
      "coincidence site modules",
      "real algebraic number fields",
      "coincidence site lattice",
      "class number",
      "maximal orders"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9793B"
    }
  }
}