The etale cohomology of the general linear group over a finite field and the Dickson algebra

摘要

Let p not equal l be primes. We study the etale cohomology H-et*(BGL(n)(F-ps); Z/l) by using the stratification methods from Molina-Rojas and Vistoli. To compute this cohomology, we use the Dickson algebra and the Drinfeld space.