{
  "id": "1610.06047",
  "version": "v1",
  "published": "2016-10-19T14:59:56.000Z",
  "updated": "2016-10-19T14:59:56.000Z",
  "title": "Factorizations of group determinant in group algebra for any abelian subgroup",
  "authors": [
    "Naoya Yamaguchi"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a further extension and generalization of Dedekind's theorem over those presented by Yamaguchi. In addition, we give two corollaries for irreducible representations of finite groups and a conjugation of the group algebra of the groups which have an index-two abelian subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-19T14:59:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "15A15",
      "22D20"
    ],
    "keywords": [
      "group algebra",
      "group determinant",
      "factorizations",
      "index-two abelian subgroups",
      "dedekinds theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}