Quasi-isometry Invariants from Decorated Trees of Cylinders of Two-Ended JSJ Decompositions
arXiv:1403.2865
Abstract
We construct quasi-isometry invariants of a one-ended finitely presented group by considering the tree of cylinders of a two-ended JSJ decomposition of the group. When the group satisfies additional quasi-isometric rigidity hypotheses we construct finer invariants by also considering relative amounts of stretching across edges of the tree of cylinders.
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