{
  "id": "1911.13195",
  "version": "v1",
  "published": "2019-11-29T17:01:15.000Z",
  "updated": "2019-11-29T17:01:15.000Z",
  "title": "Character degrees in $π$-separable groups",
  "authors": [
    "N. Grittini"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "If a group $G$ is $\\pi$-separable, where $\\pi$ is a set of primes, the set of irreducible characters $\\operatorname{B}_{\\pi}(G) \\cup \\operatorname{B}_{\\pi'}(G)$ can be defined. In this paper, we prove that there are variants of some classical theorems in character theory, namely the Theorem of Ito-Michler and Thompson theorem on character degrees, which involve irreducible characters in the set $\\operatorname{B}_{\\pi}(G) \\cup \\operatorname{B}_{\\pi'}(G)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-29T17:01:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15"
    ],
    "keywords": [
      "character degrees",
      "separable groups",
      "irreducible characters",
      "thompson theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}