A bicombing that implies a sub-exponential isoperimetric inequality
| dc.creator | Huck, Guenther | |
| dc.creator | Rosebrock, Stephan | |
| dc.date | 1993-10-23 | |
| dc.date.accessioned | 2026-07-07T09:14:58Z | |
| dc.date.available | 2026-07-07T09:14:58Z | |
| dc.description | The idea of applying isoperimetric functions to group theory is due to M.Gromov. We introduce the concept of a ``bicombing of narrow shape'' which generalizes the usual notion of bicombing. Our bicombing is related to but different from the combings defined by M. Bridson. If the Cayley graph of a group with respect to a given set of generators admits a bicombing of narrow shape then the group is finitely presented and satisfies a sub-exponential isoperimetric inequality, as well as a polynomial isodiametric inequality. We give an infinite class of examples which are not bicombable in the usual sense but admit bicombings of narrow shape. | |
| dc.description | LaTex, 10 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/9310209 | |
| dc.identifier | http://arxiv.org/abs/math/9310209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152868 | |
| dc.subject | Group Theory | |
| dc.title | A bicombing that implies a sub-exponential isoperimetric inequality | |
| dc.type | text |