Unstable homotopy invariance for finite fields
Volume 175 / 2002
Fundamenta Mathematicae 175 (2002), 155-162
MSC: Primary 20G10.
DOI: 10.4064/fm175-2-5
Abstract
We prove that if $k$ is a finite field with $p^d$ elements, then the natural map $H_i({\rm GL}_n(k),{\mathbb Z})\to H_i({\rm GL}_n(k[t]),{\mathbb Z})$ is an isomorphism for $0\le i< d(p-1)$ and for all $n$.
