{
  "id": "1603.02177",
  "version": "v1",
  "published": "2016-03-07T17:52:59.000Z",
  "updated": "2016-03-07T17:52:59.000Z",
  "title": "A Sufficient Condition for Nilpotency of the Commutator Subgroup",
  "authors": [
    "Raimundo Bastos",
    "Pavel Shumyatsky"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a finite group with the property that if $a,b$ are commutators of coprime orders, then $|ab|=|a||b|$. We show that $G'$ is nilpotent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-07T17:52:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D30",
      "20F16",
      "20D25"
    ],
    "keywords": [
      "commutator subgroup",
      "sufficient condition",
      "nilpotency"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160302177B"
    }
  }
}