{
  "id": "1604.06031",
  "version": "v1",
  "published": "2016-04-20T16:52:59.000Z",
  "updated": "2016-04-20T16:52:59.000Z",
  "title": "Beauville structures in $p$-central quotients",
  "authors": [
    "Şükran Gül"
  ],
  "comment": "8 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove a conjecture of Boston that if $p\\geq 5$, all $p$-central quotients of the free group on two generators and of the free product of two cyclic groups of order $p$ are Beauville groups. In the case of the free product, we also determine Beauville structures in $p$-central quotients when $p=3$. As a consequence, we give an explicit infinite family of Beauville $3$-groups, which is different from the only one that was known up to date.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-20T16:52:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "central quotients",
      "free product",
      "determine beauville structures",
      "free group",
      "cyclic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160406031G"
    }
  }
}