On uniqueness of JSJ decompositions of finitely generated groups
| dc.creator | Forester, Max | |
| dc.date | 2001-10-17 | |
| dc.date | 2003-05-22 | |
| dc.date.accessioned | 2026-07-07T04:43:53Z | |
| dc.date.available | 2026-07-07T04:43:53Z | |
| dc.description | We give an example of two JSJ decompositions of a group that are not related by conjugation, conjugation of edge-inclusions, and slide moves. This answers the question of Rips and Sela stated in "Cyclic splittings of finitely presented groups and the canonical JSJ decomposition," Ann. of Math. 146 (1997), 53-109. On the other hand we observe that any two JSJ decompositions of a group are related by an elementary deformation, and that strongly slide-free JSJ decompositions are genuinely unique. These results hold for the decompositions of Rips and Sela, Dunwoody and Sageev, and Fujiwara and Papasoglu, and also for accessible decompositions. | |
| dc.description | 11 pages; shortened and reorganized; mathematical content unchanged | |
| dc.identifier | https://arxiv.org/abs/math/0110176 | |
| dc.identifier | http://arxiv.org/abs/math/0110176 | |
| dc.identifier | Comment. Math. Helv. 78 (2003) 740-751 | |
| dc.identifier | doi:10.1007/s00014-003-0780-y | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62414 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F65 (Primary) 20E08, 57M07 (Secondary) | |
| dc.title | On uniqueness of JSJ decompositions of finitely generated groups | |
| dc.type | text |