{
  "id": "1104.1487",
  "version": "v1",
  "published": "2011-04-08T05:32:51.000Z",
  "updated": "2011-04-08T05:32:51.000Z",
  "title": "The etale cohomology of the general linear group over a finite field and the Deligne and Lusztig variety",
  "authors": [
    "Michishige Tezuka",
    "Nobuaki Yagita"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $p\\not =\\ell$ be primes. We study the etale cohomology $H^{*}_{et}(BGL_n(\\bF_{p^s});\\bZ/{\\ell})$ over the algebraically closed field $\\bar \\bF_p$ by using the stratification methods from Molina-Vistoli. To compute this cohomology, we use the Delinge-Lusztig variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-08T05:32:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general linear group",
      "etale cohomology",
      "finite field",
      "stratification methods",
      "delinge-lusztig variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.1487T"
    }
  }
}