Geometry & Topology 9 (2005) 2319–2358

DOI: 10.2140/gt.2005.9.2319

arXiv: math.GR/0503045

Abstract

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

Keywords

relatively hyperbolic groups, limit groups, R–trees

Mathematical Subject Classification

Primary: 20F65

Secondary: 20E08, 20F67, 57M07

References

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Publication

Received: 15 March 2005
Accepted: 3 December 2005
Published: 21 December 2005
Proposed: Benson Farb
Seconded: Walter Neumann, Martin Bridson

Authors