{
  "id": "0708.2281",
  "version": "v1",
  "published": "2007-08-16T20:30:24.000Z",
  "updated": "2007-08-16T20:30:24.000Z",
  "title": "A lower bound for the number of conjugacy classes of finite groups",
  "authors": [
    "Thomas Michael Keller"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "In 2000, L. H\\'{e}thelyi and B. K\\\"{u}lshammer proved that if $p$ is a prime number dividing the order of a finite solvable group $G$, then $G$ has at least $2\\sqrt{p-1}$ conjugacy classes. In this paper we show that if $p$ is large, the result remains true for arbitrary finite groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-16T20:30:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E45"
    ],
    "keywords": [
      "conjugacy classes",
      "lower bound",
      "arbitrary finite groups",
      "result remains true",
      "finite solvable group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2281K"
    }
  }
}