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

In this paper, we prove two properties of the modules and quandles discussed in this series. First, the fundamental multivariate Alexander quandle [Formula: see text] is isomorphic to the natural image of the fundamental quandle in the metabelian quotient [Formula: see text] of the link group. Second, the medial quandle of a classical 2-component link [Formula: see text] is determined by the reduced Alexander invariant of [Formula: see text].