Etale approximations and mod l cohomology of GL_n, by Marian Florin Anton

If A is a ring of S-integers and l a prime rational number, then the mod l cohomology of the general linear group GL(n,A) is conjectured to be isomorphic to the mod l cohomology of the etale approximation of the classifying space BGL(n,A). We show that this is not possible if n is sufficiently large.


Marian Florin Anton <manton1@nd.edu>