Astérisque N° 289/2003
Regular neighbourhoods and canonical decompositions for groups
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- Nombre de pages232
- PrésentationBroché
- FormatGrand Format
- Poids0.485 kg
- Dimensions17,0 cm × 24,0 cm × 1,5 cm
- ISBN2-85629-146-5
- EAN9782856291467
- Date de parution01/01/2004
- ÉditeurSociété Mathématique de France
Résumé
We find canonical decompositions for (almost) 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.
We find canonical decompositions for (almost) 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.
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