JSJ-splittings for finitely presented groups over slender groups
Autor: | M. J. Dunwoody, M. E. Sageev |
---|---|
Rok vydání: | 1999 |
Předmět: | |
Zdroj: | Inventiones Mathematicae. 135:25-44 |
ISSN: | 1432-1297 0020-9910 |
DOI: | 10.1007/s002220050278 |
Popis: | 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. |
Databáze: | OpenAIRE |
Externí odkaz: |