{
  "id": "1209.6377",
  "version": "v1",
  "published": "2012-09-27T21:20:20.000Z",
  "updated": "2012-09-27T21:20:20.000Z",
  "title": "Coprime commutators in PSL(2,q)",
  "authors": [
    "Marco Antonio Pellegrini",
    "Pavel Shumyatsky"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We show that every element of PSL(2,q) is a commutator of elements of coprime orders. This is proved by showing first that in PSL(2,q) any two involutions are conjugate by an element of odd order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-27T21:20:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D06",
      "20F12"
    ],
    "keywords": [
      "coprime commutators",
      "coprime orders",
      "odd order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.6377P"
    }
  }
}