{
  "id": "1812.09391",
  "version": "v1",
  "published": "2018-12-21T22:09:46.000Z",
  "updated": "2018-12-21T22:09:46.000Z",
  "title": "Products of groups and class sizes of $π$-elements",
  "authors": [
    "M. J. Felipe",
    "A. Martínez-Pastor",
    "V. M. Ortiz-Sotomayor"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We provide structural criteria for some finite factorised groups $G = AB$ when the conjugacy class sizes in $G$ of certain $\\pi$-elements in $A\\cup B$ are either $\\pi$-numbers or $\\pi'$-numbers, for a set of primes $\\pi$. In particular, we extend for products of groups some earlier results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-21T22:09:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D10",
      "20D40",
      "20E45",
      "20D20"
    ],
    "keywords": [
      "conjugacy class sizes",
      "structural criteria",
      "earlier results",
      "finite factorised groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}