{
  "id": "math/0505052",
  "version": "v2",
  "published": "2005-05-03T11:55:55.000Z",
  "updated": "2005-07-03T14:17:51.000Z",
  "title": "On the cohomology and the Chow ring of the classifying space of PGL_p",
  "authors": [
    "Angelo Vistoli"
  ],
  "comment": "I have corrected several typos, added some references, and slightly expanded the introduction",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "We investigate the integral cohomology ring and the Chow ring of the classifying space of the complex projective linear group PGL_p, when p is an odd prime. In particular, we determine its additive structure completely, and we reduce the problem of determing its multiplicative structure to a problem in invariant theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-07-03T14:17:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14L30",
      "20G10",
      "55R35"
    ],
    "keywords": [
      "classifying space",
      "chow ring",
      "complex projective linear group",
      "integral cohomology",
      "odd prime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5052V"
    }
  }
}