{
  "id": "1609.02029",
  "version": "v1",
  "published": "2016-09-07T15:45:08.000Z",
  "updated": "2016-09-07T15:45:08.000Z",
  "title": "${\\rm B}_π$-characters and quotients",
  "authors": [
    "Mark L. Lewis"
  ],
  "comment": "3 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $\\pi$ be a set of primes, and let $G$ be a finite $\\pi$-separable group. We consider the Isaacs ${\\rm B}_\\pi$-characters. We show that if $N$ is a normal subgroup of $G$, then ${\\rm B}_\\pi (G/N) = {\\rm Irr} (G/N) \\cap {\\rm B}_\\pi (G)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-07T15:45:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15"
    ],
    "keywords": [
      "characters",
      "normal subgroup",
      "separable group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}