# JSJ-Decompositions of finitely presented groups and complexes of groups

@article{Fujiwara2005JSJDecompositionsOF, title={JSJ-Decompositions of finitely presented groups and complexes of groups}, author={Koji Fujiwara and P. Papasoglu}, journal={Geometric \& Functional Analysis GAFA}, year={2005}, volume={16}, pages={70-125} }

Abstract.A JSJ-splitting of a group G over a certain class of subgroups is a graph of groups decomposition of G which describes all possible decompositions of G as an amalgamated product or an HNN extension over subgroups lying in the given class. Such decompositions originated in 3-manifold topology. In this paper we generalize the JSJ-splitting constructions of Sela, Rips–Sela and Dunwoody–Sageev, and we construct a JSJ-splitting for any finitely presented group with respect to the class of… Expand

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