A polynomial isoperimetric inequality for SL(n,Z)
| dc.creator | Young, Robert | |
| dc.date | 2009-03-13 | |
| dc.date.accessioned | 2026-07-07T12:52:39Z | |
| dc.date.available | 2026-07-07T12:52:39Z | |
| dc.description | We prove that when n>=5, the Dehn function of SL(n,Z) is at most quartic. The proof involves decomposing a disc in SL(n,R)/SO(n) into a quadratic number of loops in generalized Siegel sets. By mapping these loops into SL(n,Z) and replacing large elementary matrices by "shortcuts," we obtain words of a particular form, and we use combinatorial techniques to fill these loops. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/0903.2495 | |
| dc.identifier | http://arxiv.org/abs/0903.2495 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223365 | |
| dc.subject | Group Theory | |
| dc.subject | 20F65; 22E40 | |
| dc.title | A polynomial isoperimetric inequality for SL(n,Z) | |
| dc.type | text |