Published December 21, 2005
| Submitted + Published
Journal Article
Open
Limit groups for relatively hyperbolic groups, II: Makanin-Razborov diagrams
- Creators
- Groves, Daniel
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.
Additional Information
© 2005 Geometry & Topology Publications. Submitted to G&T on 15 March 2005. Paper accepted 3 December 2005. Paper published 21 December 2005. Proposed: Benson Farb; Seconded: Walter Neumann, Martin Bridson I would like to thank Zlil Sela for providing me with the proof of [32, Proposition 1.21], which is repeated in the proof of Proposition 5.14 in this paper. I would also like to thank the referee for correcting a number of mistakes in earlier versions of this paper, in particular the use of the bending moves in shortening quotients, and for his/her careful reading(s) and numerous comments, which have substantially improved the exposition of the results in this paper. This work was supported in part by NSF Grant DMS-0504251.Attached Files
Published - GROgt05.pdf
Submitted - 0503045v1.pdf
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Additional details
- Eprint ID
- 1177
- Resolver ID
- CaltechAUTHORS:GROgt05
- DMS-0504251
- NSF
- Created
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2006-01-02Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field