On Systems of Equations over Free Partially Commutative Groups
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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) $\mathbb{G}$. Equivalently, they give a parametrisation of $\mathrm{Hom}(G, \mathbb{G})$, where $G$ is a finitely generated group.
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