Memoirs of the American Mathematical Society
On Systems of Equations over Free Partially Commutative Groups
Memoirs of the American Mathematical Society
On Systems of Equations over Free Partially Commutative Groups
Using an analogue of Makanin-Razborov diagrams, the authors provide an effective description of the solution set of systems of equations over a partially commutative group (right-angled Artin group) $\mathbb{G}$.
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Using an analogue of Makanin-Razborov diagrams, the authors provide 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.