2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64524We first prove that the Whitehead group of a torsion-free virtually solvable linear group vanishes. Next we make a reduction of the fibered isomorphism conjecture from virtually solvable groups to a class of virtually solvable Q-linear groups. Finally we prove an L-theory analogue for elementary amenable groups.27 pages, Proc. London Math. Soc., to appearK-Theory and Homology19B28 (Primary), 19G24 (Secondary)text