Geodesic
Regular neighbourhoods and canonical decompositions for groups
Scott, Peter1 ; Swarup, Gadde2
1 Mathematics Department, University of Michigan, Ann Arbor, MI 48109, USA
2 Department of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia
Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 20-28 Cet article a éte moissonné depuis la source American Mathematical Society

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We find canonical decompositions for finitely presented groups which essentially specialise 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 of a family of almost invariant subsets of a group. An almost invariant set is an analogue of an immersion.
DOI : 10.1090/S1079-6762-02-00102-6

Scott, Peter 1 ; Swarup, Gadde 2

1 Mathematics Department, University of Michigan, Ann Arbor, MI 48109, USA
2 Department of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia 
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Scott, Peter; Swarup, Gadde. Regular neighbourhoods and canonical decompositions for groups. Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 20-28. doi: 10.1090/S1079-6762-02-00102-6

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