{
  "id": "1503.04543",
  "version": "v1",
  "published": "2015-03-16T07:14:36.000Z",
  "updated": "2015-03-16T07:14:36.000Z",
  "title": "Relation modules of dihedral groups",
  "authors": [
    "Akinary Hoshi",
    "Ming-chang Kang",
    "Aiichi Yamasaki"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1312.6738",
  "categories": [
    "math.NT",
    "math.AG",
    "math.GR"
  ],
  "abstract": "Let D_n be the dihedral group of order 2n where n \\ge 2, 1 \\to R \\to F \\to D_n \\to 1 be a free presentation of D_n. R^{ab}:=R/[R,R] becomes a \\bm{Z}[D_n]-lattice. We will study the module structure and the rationality problem of R^{ab}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-16T07:14:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dihedral group",
      "relation modules",
      "order 2n",
      "module structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}