{
  "id": "1211.6875",
  "version": "v1",
  "published": "2012-11-29T11:02:16.000Z",
  "updated": "2012-11-29T11:02:16.000Z",
  "title": "Permutations over cyclic groups",
  "authors": [
    "Zoltán Lóránt Nagy"
  ],
  "journal": "European Journal of Combinatorics 41C (2014), pp. 68-78",
  "doi": "10.1016/j.ejc.2014.03.010",
  "categories": [
    "math.CO"
  ],
  "abstract": "Generalizing a result in the theory of finite fields we prove that, apart from a couple of exceptions that can be classified, for any elements $a_1,...,a_m$ of the cyclic group of order $m$, there is a permutation $\\pi$ such that $1a_{\\pi(1)}+...+ma_{\\pi(m)}=0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-29T11:02:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cyclic group",
      "permutation",
      "finite fields"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.6875L"
    }
  }
}