2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153117Recently, Meierfrankenfeld has published three theorems on the cohomology of a finitary module. They cover the local determination of complete reducibility; the local splitting of group extensions; and the representation of locally split extensions in the double dual. In this note we derive all three by combining a certain duality between homology and cohomology with the continuity of homology.DVI and Post-Script files only, 5 pagesGroup Theorytext