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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- 10.48550/arXiv.1011.5110
- arXiv:
- arXiv:1011.5110
- Bibcode:
- 2010arXiv1011.5110W
- Keywords:
-
- Mathematics - K-Theory and Homology;
- 20G10;
- 20E42
- E-Print:
- 11 pages, removed application to degree 3 case of Friedlander-Milnor conjecture again, the one-variable case does not suffice even for degree 3