{
  "id": "1310.6384",
  "version": "v1",
  "published": "2013-10-23T20:37:10.000Z",
  "updated": "2013-10-23T20:37:10.000Z",
  "title": "Conjugacy classes and characters for extensions of finite groups",
  "authors": [
    "Xiang Tang",
    "Hsian-hua Tseng"
  ],
  "comment": "10 pages",
  "journal": "Chinese Annals of Mathematics, Series B, Volume 35 (2014), Issue 5, pp 743-750",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $H$ be an extension of a finite group $Q$ by a finite group $G$. Inspired by the results of duality theorems for \\'etale gerbes on orbifolds, we describe the number of conjugacy classes of $H$ that maps to the same conjugacy class of $Q$. Furthermore, we prove a generalization of the orthogonality relation between characters of $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-23T20:37:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite group",
      "conjugacy classes",
      "characters",
      "duality theorems",
      "etale gerbes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.6384T"
    }
  }
}