{
  "id": "1509.06213",
  "version": "v1",
  "published": "2015-09-21T13:06:02.000Z",
  "updated": "2015-09-21T13:06:02.000Z",
  "title": "Crystallographic groups and flat manifolds from complex reflection groups",
  "authors": [
    "Ivan Marin"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Following an idea of Gon\\c{c}alvez, Guaschi and Ocampo on the usual braid group we construct crystallographic and Bieberbach groups as (sub)quotients of the generalized braid group associated to an arbitrary complex reflection group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-21T13:06:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20F55",
      "20H15"
    ],
    "keywords": [
      "flat manifolds",
      "crystallographic groups",
      "arbitrary complex reflection group",
      "usual braid group",
      "bieberbach groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906213M"
    }
  }
}