{
  "id": "1701.08309",
  "version": "v1",
  "published": "2017-01-28T18:12:36.000Z",
  "updated": "2017-01-28T18:12:36.000Z",
  "title": "Vector bundles over classifying spaces of p-local finite groups and Benson-Carlson duality",
  "authors": [
    "José Cantarero",
    "Natàlia Castellana",
    "Lola Morales"
  ],
  "comment": "23 pages, no figures",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "In this paper we obtain a description of the Grothendieck group of complex vector bundles over the classifying space of a p-local finite group in terms of representation rings of subgroups of its Sylow. We also prove a stable elements formula for generalized cohomological invariants of p-local finite groups, which is used to show the existence of unitary embeddings of p-local finite groups. Finally, we show that the augmentation map for the cochains of the classifying space of a p-local finite group is Gorenstein in the sense of Dwyer-Greenlees-Iyengar and obtain some consequences about the cohomology ring of these classifying spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-28T18:12:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35",
      "20C20",
      "20D20"
    ],
    "keywords": [
      "p-local finite group",
      "classifying space",
      "benson-carlson duality",
      "complex vector bundles",
      "augmentation map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}