Limit groups for relatively hyperbolic groups, II: Makanin-Razborov diagrams

Abstract

Let Gamma be a torsion-free group which is hyperbolic relative to a collection of free abelian subgroups. We construct Makanin-Razborov diagrams for Gamma. We also prove that every system of equations over Gamma is equivalent to a finite subsystem, and a number of structural results about Gamma-limit groups.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper54.abs.html

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