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Relative completions of linear groups over Z[t] and Z[t,t-1]

Kevin P. Knudson

math.GRarXiv:math/9801100

Abstract

We compute the completion of the groups SLn(Z[t]) and SLn(Z[t,t-1]) relative to the obvious homomorphisms to SLn(Q); this is a generalization of the classical Malcev completion. We also make partial computations of the rational second cohomology of these groups.

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