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
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.