Canonical splittings of groups and 3-manifolds
Abstract
Description
We introduce the notion of a `canonical' splitting over Z or ZxZ for a finitely generated group G. We show that when G happens to be the fundamental group of an orientable Haken manifold M with incompressible boundary, then the decomposition of the group naturally obtained from canonical splittings is closely related to the one given by the standard JSJ-decomposition of M. This leads to a new proof of Johannson's Deformation Theorem.
We have another paper in preparation which contains far more general algebraic results
We have another paper in preparation which contains far more general algebraic results