{
  "id": "math/0701659",
  "version": "v1",
  "published": "2007-01-23T23:12:12.000Z",
  "updated": "2007-01-23T23:12:12.000Z",
  "title": "Distances of groups of prime order",
  "authors": [
    "Petr Vojtěchovský"
  ],
  "comment": "7 pages",
  "journal": "proceedings of Olomouc Workshop on General Algebra '98, published in Contributions to General Algebra 11, 225-231, Verlag Johannes Heyn, Klagenfurt, 1999",
  "categories": [
    "math.GR"
  ],
  "abstract": "Given two finite groups G(.), G(*) defined on the same set G, their distance is the number of pairs (x,y) for which x.y and x*y differ. The Cayley stability of a group G(.) is the minimum distance of G(.) from another group defined on G. We show that the Cayley stability of the cyclic group of prime order p is 6p-18, for every p>7.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-23T23:12:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20K01"
    ],
    "keywords": [
      "prime order",
      "cayley stability",
      "minimum distance",
      "finite groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1659V"
    }
  }
}