On systems of equations over free partially commutative groups
On systems of equations over free partially commutative groups
Using an analogue of Makanin-Razborov diagrams, the authors give an effective description of the solution set of systems of equations over a partially commutative group (right-angled Artin group) G. Equivalently, they give a parametrisation of Hom (G,G), where G is a finitely generated group.