A New Proof of a Theorem of Suslin |
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Authors: | A Mazzoleni |
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Institution: | (1) D-MATH, ETH, CH-8092, Zürich |
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Abstract: | In this paper we compute the group H2(SL2(F)), for F an infinite field. In particular, using some techniques from homological algebra developed by Hutchinson Hutchinson, K:
K-Theory 4 (1990), 181–200], we give a new proof of the following theorem obtained by Su2]: The group H2(SL2, (F)) is the fiber product of λ*:K2(F)→ I2(F)/I3(F) and σ: I2(F) → I2(F)/I3(F) where λ* and σ map onto I2(F)/I3(F).
(Received: February 2003) |
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