Mathematics – Group Theory
Scientific paper
2001-10-19
Asterisque 289 (2003)
Mathematics
Group Theory
First version: 124 pages. This is a preliminary version. Second version: 155 pages. Added new sections, more details and more
Scientific paper
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 decompositions that we obtain are invariant under automorphisms of the group. A crucial new ingredient is the concept of a regular neighbourhood for a finite family of almost invariant subsets of a group. An almost invariant set is an analogue of an immersion.
Scott Peter
Swarup Gadde
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