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).
Full text not available from this repository.
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.
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
|Date Deposited:||22 Dec 2006|
|Last Modified:||02 Mar 2012 13:06|
|Contributors:||Dunwoody, M.J. (Author)
Sageev, M.E. (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
Actions (login required)