{
  "id": "1008.2055",
  "version": "v4",
  "published": "2010-08-12T06:51:48.000Z",
  "updated": "2012-06-19T18:42:24.000Z",
  "title": "Elements with r-th roots in finite groups",
  "authors": [
    "Elaheh Khamseh",
    "Mohammed Reza R. Moghaddam",
    "Francesco G. Russo",
    "Farshid Saeedi"
  ],
  "comment": "7 pages; Fundamental revisions have been done",
  "categories": [
    "math.GR"
  ],
  "abstract": "The probability that a randomly chosen element of a finite group is an $r$--th root (for any integer $r\\geq2$) has been studied largely in case $r=2$. Certain techniques may be generalized for $r>2$ and here we find the exact value of this probability for projective special linear groups. A result of density is placed at the end, in order to show an analogy with the case $r=2$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-06-19T18:42:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20P05",
      "20D60"
    ],
    "keywords": [
      "finite group",
      "r-th roots",
      "projective special linear groups",
      "exact value",
      "probability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2055K"
    }
  }
}