A refined Bloch group and the third homology of SL2 of a field
Abstract
We use the properties of the refined Bloch group of a field to prove that H3 of SL2 of a global field is never finitely generated, and to calculate - up to some 2-torsion - H3 of SL2 of local fields with finite residue field of odd characteristic. We also give lower bounds for the 3-torsion in the H3 of SL2 of rings of S-integers.
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