Expanders and the Affine Building of ${\rm Sp}_n$
| dc.creator | Setyadi, A. | |
| dc.date | 2007-06-15 | |
| dc.date | 2008-03-04 | |
| dc.date.accessioned | 2026-07-07T09:24:09Z | |
| dc.date.available | 2026-07-07T09:24:09Z | |
| dc.description | For $n \geq 2$ and a local field $K$, let $Δ_n$ denote the affine building naturally associated to the symplectic group ${\rm Sp}_n(K)$. We compute the spectral radius of the subgraph $Y_n$ of $Δ_n$ induced by the special vertices in $Δ_n$, from which it follows that $Y_n$ is an analogue of a family of expanders and is non-amenable. | |
| dc.description | minor corrections made; 11 pages, 2 figures; to appear in Ars Combinatoria | |
| dc.identifier | https://arxiv.org/abs/0706.2272 | |
| dc.identifier | http://arxiv.org/abs/0706.2272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155992 | |
| dc.subject | Combinatorics | |
| dc.subject | 05C12 (Primary), 05C25, 51E24 (Secondary) | |
| dc.title | Expanders and the Affine Building of ${\rm Sp}_n$ | |
| dc.type | text |