On Systems of Equations over Free Partially Commutative Groups

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Version 2: Corrected Section 3.3: instead of lexicographical normal forms we now use a normal form due to V. Diekert and A. Muscholl. Consequent changes made and some misprints corrected. Using an analogue of Makanin-Razborov diagrams, we give an effective description of the solution set of systems of equations over a partially commutative group (right-angled Artin group) $G$. Equivalently, we give a parametrisation of $Hom(H, G)$, where $H$ is a finitely generated group.
117 pages, 22 figures

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Group Theory, 20F10 (Primary); 20F36 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/214323

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4867
 http://arxiv.org/abs/0810.4867

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arXiv