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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76523We 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.13 pagesGroup TheoryK-Theory and Homology55P60, 20G35, 20H05 (Primary); 20G10, 20F14 (Secondary)Relative completions of linear groups over Z[t] and Z[t,t^{-1}]text