{
  "id": "1610.06489",
  "version": "v1",
  "published": "2016-10-20T16:29:42.000Z",
  "updated": "2016-10-20T16:29:42.000Z",
  "title": "Generalization of Frobenius' theorem for group determinants",
  "authors": [
    "Naoya Yamaguchi"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1610.06047",
  "categories": [
    "math.RT"
  ],
  "abstract": "Frobenius built a representation theory of finite groups in the process of obtaining the irreducible factorization of the group determinant. Here, we give a generalization of Frobenius' theorem. The generalization leads to two corollaries on irreducible representations of finite groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-20T16:29:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "15A15",
      "22D20"
    ],
    "keywords": [
      "group determinant",
      "generalization",
      "finite groups",
      "representation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}