2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76606We show that every nilpotent group of class at most two may be embedded in a central extension of abelian groups with bilinear cocycle. The embedding is shown to depend only on the base group. Some refinements are obtained by considering the cohomological situation explicitly.16 Pages, Plain TeXGroup Theory20E22, 20F18 (Primary) 20J05 (Secondary)text