English

On homology of linear groups over k[t]

K-Theory and Homology 2015-10-15 v5

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.

Keywords

Cite

@article{arxiv.1011.5110,
  title  = {On homology of linear groups over k[t]},
  author = {Matthias Wendt},
  journal= {arXiv preprint arXiv:1011.5110},
  year   = {2015}
}

Comments

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