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On Systems of Equations over Free Partially Commutative Groups (Memoirs of the American Mathematical Society)

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On Systems of Equations over Free Partially Commutative Groups (Memoirs of the American Mathematical Society)

On Systems of Equations over Free Partially Commutative Groups (Memoirs of the American Mathematical Society) by Montserrat Casals-ruiz
English | 2011 | ISBN: 0821852582 | 153 Pages | PDF | 1.71 MB

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.