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math.GR2001
Regular Neighbourhoods and Canonical Decompositions for Groups
Peter Scott, Gadde Swarup
We find canonical decompositions for finitely presented groups which specialize to the classical JSJ-decomposition when restricted to the fundamental groups of Haken manifolds. The…
math.GT2001
Canonical splittings of groups and 3-manifolds
Peter Scott, Gadde Swarup
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 ma…