JSJ-splittings for fintely presented groups over slender groups
Dunwoody, M.J. and Sageev, M.E. (1999) JSJ-splittings for fintely presented groups over slender groups. Inventiones Mathematicae, 135, (1), 25-44. (doi:10.1007/s002220050278).
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Description/Abstract
We generalize the JSJ-splitting of Rips and Sela to give decompositions of finitely presented groups which capture splittings over certain classes of small subgroups. Such classes include the class of all 2-ended groups and the class of all virtually Z]Z groups. The approach, called "track zipping", is relatively elementary, and differs from the Rips-Sela approach in that it does not rely on the theory of R-trees but rather on an understanding of certain embedded 1-complexes (called patterns) in a presentation 2-complex for the ambient group.
| Item Type: | Article |
|---|---|
| ISSNs: | 0020-9910 (print) |
| Related URLs: | |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| Item ID: | 29896 |
| Date Deposited: | 22 Dec 2006 |
| Last Modified: | 02 Mar 2012 13:06 |
| Contributors: | Dunwoody, M.J. (Author) Sageev, M.E. (Author) |
| Date: | 1999 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29896 |
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