Multivariate Alexander quandles, VI. Metabelian groups and 2-component links

We prove two properties of the modules and quandles discussed in this series. First, the fundamental multivariate Alexander quandle $Q_A(L)$ is isomorphic to the natural image of the fundamental quandle in the metabelian quotient $G(L)\mathrm{/}G(L{)}^{\mathrm{\prime }\mathrm{\prime }}$ of the link group. Second, the medial quandle of a classical 2-component link $L$ is determined by the reduced Alexander invariant of $L$.