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

Details Relative completions of linear groups over Z[t] and Z[t,t^{-1}] Relative completions of linear groups over Z[t] and Z[t,t^{-1}]

1998-01-21

arxiv.org/abs/math/9801100v1

Mathematics

Group Theory

13 pages

Scientific paper

We compute the completion of the groups SL_n(Z[t]) and SL_n(Z[t,t^{-1}])
relative to the obvious homomorphisms to SL_n(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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