2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95868The Hausmann-Weinberger invariant of a group G is the minimal Euler characteristic of a closed orientable 4-manifold M with fundamental group G. We compute this invariant for finitely generated free abelian groups and estimate the invariant for all finitely generated abelian groups.9 pages, minor update from previous versionGeometric Topology57M05The Hausmann-Weinberger 4-manifold invariant of abelian groupstext