{
  "id": "math/0510306",
  "version": "v1",
  "published": "2005-10-14T15:15:19.000Z",
  "updated": "2005-10-14T15:15:19.000Z",
  "title": "Retrieving information about a group from its character degrees or its class sizes",
  "authors": [
    "Sandro Mattarei"
  ],
  "comment": "9 pages, to be published in Proc. Amer. Math. Soc",
  "journal": "Proc. Amer. Math. Soc. 134 (2006), 2189-2195",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that a knowledge of the character degrees of a finite group G and of their multiplicities determines whether G has a Sylow p-subgroup as a direct factor. An analogous result based on a knowledge of the conjugacy class sizes was known. We prove variations of both results and discuss their similarities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-14T15:15:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C05",
      "20C15",
      "20E45"
    ],
    "keywords": [
      "character degrees",
      "retrieving information",
      "conjugacy class sizes",
      "multiplicities determines",
      "finite group"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10306M"
    }
  }
}