JSJ decompositions: definitions, existence, uniqueness. I: The JSJ deformation space
Group Theory
2016-03-28 v3 Geometric Topology
Abstract
This paper and its companion arXiv:1002.4564 have been replaced by arXiv:1602.05139.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.
Cite
@article{arxiv.0911.3173,
title = {JSJ decompositions: definitions, existence, uniqueness. I: The JSJ deformation space},
author = {Vincent Guirardel and Gilbert Levitt},
journal= {arXiv preprint arXiv:0911.3173},
year = {2016}
}
Comments
This paper and its companion arXiv:1002.4564 have been replaced by arXiv:1602.05139