A refined Bloch-Wigner exact sequence in characteristic 2

Abstract

Let $A$ be a local domain of characteristic $2$ such that its residue field has more than $64$ elements. Then we find an exact relation between the third integral homology of the group ${\mathrm{SL}}_2(A)$ and Hutchinson's refined Bloch group $\mathcal{R}\mathcal{B}(A)$.

15 pages