{
  "id": "1007.1071",
  "version": "v2",
  "published": "2010-07-07T08:22:37.000Z",
  "updated": "2011-01-25T17:28:12.000Z",
  "title": "The t-core of an s-core",
  "authors": [
    "Matthew Fayers"
  ],
  "journal": "J. Combin. Theory Ser. A 118 (2011) 1525-1539",
  "doi": "10.1016/j.jcta.2011.01.004",
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider the $t$-core of an $s$-core partition, when $s$ and $t$ are coprime positive integers. Olsson has shown that the $t$-core of an $s$-core is again an $s$-core, and we examine certain actions of the affine symmetric group on $s$-cores which preserve the $t$-core of an $s$-core. Along the way, we give a new proof of Olsson's result. We also give a new proof of a result of Vandehey, showing that there is a simultaneous $s$- and $t$-core which contains all others.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-25T17:28:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine symmetric group",
      "olssons result",
      "coprime positive integers",
      "core partition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.1071F"
    }
  }
}