The third homology of SL₂ of local rings
classification
🧮 math.KT
keywords
ringshomologylocalthirdblochcertaincomputationsderive
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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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