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Paper detail

JSJ decompositions: definitions, existence, uniqueness. I: The JSJ deformation space

This paper and its companion arXiv:1002.4564 have been replaced by arXiv:1602.05139. We give a general simple definition of JSJ decompositions by means of a universal maximality property. The JSJ decomposition should not be viewed as a tree (which is not uniquely defined) but as a canonical deformation space of trees. We prove that JSJ decompositions of finitely presented groups always exist, without any assumption on edge groups. Many examples are given.

preprint2016arXivOpen access
Vincent GuirardelGilbert Levitt
math.GRmath.GT
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Vincent GuirardelGilbert Levitt

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