{
  "id": "1607.01457",
  "version": "v1",
  "published": "2016-07-06T02:02:20.000Z",
  "updated": "2016-07-06T02:02:20.000Z",
  "title": "String C-groups from groups of order 2^m and exponent at least 2^(m - 3)",
  "authors": [
    "Mark L. Loyola"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "This work provides a classification of string C-groups of order 2m and exponent at least 2^(m - 3). Prior to the classification, we complete the list of groups of exponent 2^(m - 3) and rank at least 3. The main result states that, aside from the cyclic and dihedral groups, only two groups of exponent at least 2^(m - 3) are connected string C-groups. Both have rank 3 and are quotients of the string Coxeter group W = [4, 2^(m - 3)].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-06T02:02:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D15",
      "20F05",
      "20F65"
    ],
    "keywords": [
      "main result states",
      "classification",
      "string coxeter group",
      "dihedral groups",
      "order 2m"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}