{
  "id": "math/0703157",
  "version": "v2",
  "published": "2007-03-06T15:12:29.000Z",
  "updated": "2007-12-04T16:26:44.000Z",
  "title": "On defect groups for generalized blocks of the symmetric group",
  "authors": [
    "Jean-Baptiste Gramain"
  ],
  "comment": "18 pages",
  "journal": "Journal of the London Mathematical Society, vol 78 (2008), no. 1, pp. 155-171",
  "doi": "10.1112/jlms/jdn023",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "In a paper of 2003, B. K\\\"ulshammer, J. B. Olsson and G. R. Robinson defined $\\ell$-blocks for the symmetric groups, where $\\ell >1$ is an arbitrary integer. In this paper, we give a definition for the defect group of the principal $\\ell$-block. We then check that, in the Abelian case, we have an analogue of one of M. Brou\\'e's conjectures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-12-04T16:26:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C30",
      "20C15",
      "20C20"
    ],
    "keywords": [
      "symmetric group",
      "defect group",
      "generalized blocks",
      "broues conjectures",
      "abelian case"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3157G"
    }
  }
}