JSJ-splittings for finitely presented groups over slender groups

  title={JSJ-splittings for finitely presented groups over slender groups},
  author={M. J. Dunwoody and Michah Sageev},
  journal={Inventiones mathematicae},
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… 
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