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The third homology of SL_2 of local rings

Published 19 Sep 2013 in math.KT | (1309.5010v2)

Abstract: We describe the third homology of SL_2 of local rings over Z[1/2] in terms of a refined Bloch group. We use this to derive a localization sequence for the third homology of SL_2 of certain discrete valuation rings, and to make explicit computations for p-adic integers and other local rings.

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