{
  "id": "1902.03170",
  "version": "v1",
  "published": "2019-02-08T16:32:08.000Z",
  "updated": "2019-02-08T16:32:08.000Z",
  "title": "Zeros of irreducible characters lying in a normal subgroup",
  "authors": [
    "M. J. Felipe",
    "N. Grittini",
    "V. M. Ortiz-Sotomayor"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $N$ be a normal subgroup of a finite group $G$. An element $g\\in G$ such that $\\chi(g)=0$ for some irreducible character $\\chi$ of $G$ is called a vanishing element of $G$. The aim of this paper is to analyse the influence of the $\\pi$-elements in $N$ which are (non-)vanishing in $G$ on the $\\pi$-structure of $N$, for a set of primes $\\pi$. In particular, we also study certain arithmetical properties of their $G$-conjugacy class sizes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-08T16:32:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20E45",
      "20D20"
    ],
    "keywords": [
      "normal subgroup",
      "irreducible characters lying",
      "conjugacy class sizes",
      "finite group",
      "arithmetical properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}