The third homology of SL_2 of local rings

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.

Extensively rewritten. The arguments have been simplified and the theorems strengthened

References in corpus (1)

• The third homology of SL_2 of fields with discrete valuation

Cited by in corpus (3)

• Low-dimensional Homology of SL_2(k[t,1/t])
• The third homology of SL_2 of fields with discrete valuation
• On third homology of SL_2 and weak homotopy invariance