Regular Neighbourhoods and Canonical Decompositions for Groups
| dc.creator | Scott, Peter | |
| dc.creator | Swarup, Gadde | |
| dc.date | 2001-10-19 | |
| dc.date | 2001-12-20 | |
| dc.date.accessioned | 2026-07-07T04:43:57Z | |
| dc.date.available | 2026-07-07T04:43:57Z | |
| dc.description | 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. | |
| dc.description | First version: 124 pages. This is a preliminary version. Second version: 155 pages. Added new sections, more details and more examples. Reorganised parts of paper, and improved exposition | |
| dc.identifier | https://arxiv.org/abs/math/0110210 | |
| dc.identifier | http://arxiv.org/abs/math/0110210 | |
| dc.identifier | Asterisque 289 (2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62444 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F65 (Primary) 57M07, 20E34 (Secondary) | |
| dc.title | Regular Neighbourhoods and Canonical Decompositions for Groups | |
| dc.type | text |