Foliations for solving equations in groups: free, virtually free, and hyperbolic groups

Details Foliations for solving equations in groups: free, virtually free, and hyperbolic groups Foliations for solving equations in groups: free, virtually free, and hyperbolic groups

2009-01-13

arxiv.org/abs/0901.1830v2

Mathematics

Group Theory

70 pages, 7 figures, revised version. To appear in Journal of Topology

Scientific paper

We give an algorithm for solving equations and inequations with rational constraints in virtually free groups. Our algorithm is based on Rips classification of measured band complexes. Using canonical representatives, we deduce an algorithm for solving equations and inequations in hyperbolic groups (maybe with torsion). Additionnally, we can deal with quasi-isometrically embeddable rational constraints.

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