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

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

2005-03-02

arxiv.org/abs/math/0503045v2

Geom. Topol. 9(2005) 2319-2358

Mathematics

Group Theory

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

Scientific paper

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.

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