{
  "id": "1610.04846",
  "version": "v1",
  "published": "2016-10-16T12:05:45.000Z",
  "updated": "2016-10-16T12:05:45.000Z",
  "title": "Restriction and induction for supercharacters of finite groups of triangular type",
  "authors": [
    "A. N. Panov"
  ],
  "comment": "18 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "It is proved the the restriction of any supercharacter of a finite group of triangular type on its subgroup is a sum of supercharacters with nonnegative integer coefficients. We define superinduction and prove the analog of the Frobenius formula for supercharacters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-16T12:05:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33"
    ],
    "keywords": [
      "finite group",
      "triangular type",
      "supercharacter",
      "restriction",
      "nonnegative integer coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}