{
  "id": "1004.2375",
  "version": "v3",
  "published": "2010-04-14T11:40:34.000Z",
  "updated": "2010-08-23T13:27:27.000Z",
  "title": "On some combinatorial properties of the orbits on subsets",
  "authors": [
    "Xavier Buchwalder"
  ],
  "comment": "Improved redaction. Added counterexample",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "We introduce generalised orbit algebras. The purpose here is to measure how some combinatorial properties can characterize the action of a group of permutations on the subsets. The similarity with orbit algebras is such that it took the author a long time to find a generalised orbit algebra not arising from a permutation group.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-08-23T13:27:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorial properties",
      "generalised orbit algebra",
      "permutation group",
      "long time",
      "similarity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2375B"
    }
  }
}