On homology of linear groups over k[t]

Abstract

This note explains how to prove that for any simply-connected reductive group G and any infinite field k, the inclusion of k in k[t] induces an isomorphism on homology. This generalizes results of Soule and Knudson.

11 pages, removed application to degree 3 case of Friedlander-Milnor conjecture again, the one-variable case does not suffice even for degree 3

Cited by in corpus (1)

• On A^1-fundamental groups of isotropic reductive groups