Resumen de A refined Bloch group and the third homology of SL2 of a field

Kevin Hutchinson

• We use the properties of the refined Bloch group to study the structure of H3(SL2(F ), Z) for a field F . We compute this group up to 2-torsion when F is a local field with finite residue field of odd order, and we show that for any global field F it is not finitely-generated.