On Systems of Equations over Free Partially Commutative Groups

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dc.creatorCasals-Ruiz, Montserrat
dc.creatorKazachkov, Ilya
dc.date2008-10-27
dc.date2009-01-06
dc.date.accessioned2026-07-07T12:24:26Z
dc.date.available2026-07-07T12:24:26Z
dc.descriptionVersion 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.
dc.description117 pages, 22 figures
dc.identifierhttps://arxiv.org/abs/0810.4867
dc.identifierhttp://arxiv.org/abs/0810.4867
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214323
dc.subjectGroup Theory
dc.subject20F10 (Primary); 20F36 (Secondary)
dc.titleOn Systems of Equations over Free Partially Commutative Groups
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