Rectangle groups
| dc.creator | Dunwoody, M. J. | |
| dc.date | 2008-05-16 | |
| dc.date.accessioned | 2026-07-07T09:39:24Z | |
| dc.date.available | 2026-07-07T09:39:24Z | |
| dc.description | A class of groups is investigated, each of which has a fairly simple presentation . For example the group $R = (a, b, c, d | a^3 = b^3 = c^3 = d^3 = 1, ba^{-1} =dc^{-1}, ca^{-1} = db^{-1}) $ is in the class. Such a group does not have as a homomorphic image any group which is a 2-orbifold group or which is a group of isometries of the reals. However it does have incompatible splittings over subgroups which are not small. This contradicts some ideas I had about universal JSJ decompostions for finitely presented groups over finitely generated subgroups. Such a group also has an unstable action on an R-tree and a cocompact action on a CAT(0) cube complex with finite cyclic point stabilizers, and trivial edge stabilizers. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0805.2494 | |
| dc.identifier | http://arxiv.org/abs/0805.2494 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161156 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 57M60 | |
| dc.title | Rectangle groups | |
| dc.type | text |