{
  "id": "1509.06922",
  "version": "v1",
  "published": "2015-09-23T11:05:42.000Z",
  "updated": "2015-09-23T11:05:42.000Z",
  "title": "Classification of finite groups generated by reflections and rotations",
  "authors": [
    "Christian Lange",
    "Marina A. Mikhailova"
  ],
  "comment": "38 pages, accepted by Transformation Groups",
  "categories": [
    "math.GR",
    "math.DG"
  ],
  "abstract": "We survey the existing parts of a classification of finite groups generated by orthogonal transformations in a finite-dimensional Euclidean space whose fixed point subspace has codimension one or two and extend it to a complete classification. These groups naturally arise in the study of the quotient of a Euclidean space by a finite orthogonal group and hence in the theory of orbifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-23T11:05:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E34",
      "20F55"
    ],
    "keywords": [
      "finite groups",
      "reflections",
      "finite-dimensional euclidean space",
      "finite orthogonal group",
      "orthogonal transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906922L"
    }
  }
}