2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166725We show that the group $H_2(\slzti;\zz)$ is not finitely generated, answering a question mentioned by Bux and Wortman in \cite{bux}.8 pagesGroup TheoryAlgebraic Topology20F05; 20F65Homology and finiteness properties of SL_2(Z[t,t^{-1}])text