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G&T Monographs |
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Limit groups for relatively hyperbolic groups, II:
Makanin-Razborov diagrams
Daniel Groves
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Geometry & Topology 9 (2005)
2319–2358
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Abstract
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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.
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Keywords
relatively hyperbolic groups, limit
groups, R–trees
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Mathematical Subject Classification
Primary: 20F65
Secondary: 20E08, 20F67, 57M07
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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
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