Serre class of finitely generated abelian groups (source code)

= Serre class of finitely generated abelian groups
{c}
{title2=$\mathcal C_{\mathrm{fg}}$}

The class of all finitely generated abelian groups has the closure properties needed for the <Hurewicz theorem modulo a Serre class>. In a <simply connected> space, degreewise membership of <homotopy groups> and integral <homology> groups in this class is equivalent.