{
  "id": "math/0503743",
  "version": "v1",
  "published": "2005-03-31T16:42:01.000Z",
  "updated": "2005-03-31T16:42:01.000Z",
  "title": "A Quotient of the Set [BG, BU(n)] for a Finite Group G of Small Rank",
  "authors": [
    "Michael A. Jackson"
  ],
  "comment": "14 pages",
  "journal": "J. Pure and Applied Alg. 188 (2004) 161-174",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "We construct a natural map from the set [BG,BU(n)] into a set of characters of the Sylow p-subgroups of G and prove that this natural map is a surjection for all finite groups G of rank two. We show, furthermore, that this same natural map is in fact a bijection for two types of finite groups G: those with periodic cohomology and those of rank two with odd order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-31T16:42:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R37",
      "55S35",
      "20J06",
      "20D15"
    ],
    "keywords": [
      "finite group",
      "small rank",
      "natural map",
      "sylow p-subgroups",
      "periodic cohomology"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3743J"
    }
  }
}