{
  "id": "1703.08363",
  "version": "v1",
  "published": "2017-03-24T11:26:39.000Z",
  "updated": "2017-03-24T11:26:39.000Z",
  "title": "Square-free class sizes in products of groups",
  "authors": [
    "M. J. Felipe",
    "A. Martínez-Pastor",
    "V. M. Ortiz-Sotomayor"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We obtain some structural properties of a factorised group $G = AB$, given that the conjugacy class sizes of certain elements in $A\\cup B$ are not divisible by $p^2$, for some prime $p$. The case when $G = AB$ is a mutually permutable product is especially considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-24T11:26:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D10",
      "20D40",
      "20E45"
    ],
    "keywords": [
      "square-free class sizes",
      "conjugacy class sizes",
      "structural properties",
      "factorised group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}