{
  "id": "1808.08539",
  "version": "v1",
  "published": "2018-08-26T12:00:56.000Z",
  "updated": "2018-08-26T12:00:56.000Z",
  "title": "New supercharacter theory for Sylow subgroups in orthogonal and symplectic groups",
  "authors": [
    "A. N. Panov"
  ],
  "comment": "15 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Applying the embedding of $A_{n-1}$ in $B_n$, $C_n$ and $D_n$ we construct a new supercharacter theory for the Sylow subgroups in orthogonal and symplectic groups over a finite field. The constructed supercharacter appears to be a little bit more precise than the previously known one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-26T12:00:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33"
    ],
    "keywords": [
      "symplectic groups",
      "supercharacter theory",
      "sylow subgroups",
      "orthogonal",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}