Generalized Dehn Functions II
| dc.creator | Groft, Chad | |
| dc.date | 2009-01-15 | |
| dc.date.accessioned | 2026-07-07T12:30:34Z | |
| dc.date.available | 2026-07-07T12:30:34Z | |
| dc.description | We establish the existence, finiteness, and uniqueness up to scaling of various isoperimetric profiles of a group, in all dimensions. We also show that these profiles all coincide in dimensions 4 and higher; in particular, the nth Dehn function is equal to FV^{n+1} for n at least 3. Even for dimension 3, there is significant overlap. When a group has decidable word problem, this has mild consequences for the growth rates of its profiles. We also establish a metric analogue for highly connected Riemannian manifolds. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0901.2317 | |
| dc.identifier | http://arxiv.org/abs/0901.2317 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216170 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F65 (primary), 53C23 (secondary) | |
| dc.title | Generalized Dehn Functions II | |
| dc.type | text |