{
  "id": "1411.0454",
  "version": "v1",
  "published": "2014-11-03T12:31:57.000Z",
  "updated": "2014-11-03T12:31:57.000Z",
  "title": "A lower bound for the number of conjugacy classes of a finite group",
  "authors": [
    "Attila Maróti"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "Every finite group whose order is divisible by a prime $p$ has at least $2 \\sqrt{p-1}$ conjugacy classes. This answers a question of L. Pyber.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-03T12:31:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjugacy classes",
      "finite group",
      "lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.0454M"
    }
  }
}