On asymptotic dimension of groups acting on trees
| dc.creator | Bell, G. | |
| dc.creator | Dranishnikov, A. | |
| dc.date | 2001-11-07 | |
| dc.date | 2002-09-06 | |
| dc.date.accessioned | 2026-07-07T04:44:26Z | |
| dc.date.available | 2026-07-07T04:44:26Z | |
| dc.description | We prove the following theorem: Let $π$ be the fundamental group of a finite graph of groups with finitely generated vertex groups $G_v$ having asdim $G_v\le n$ for all vertices $v$. Then asdim$π\le n+1$. This gives the best possible estimate for the asymptotic dimension of an HNN extension and the amalgamated product. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0111087 | |
| dc.identifier | http://arxiv.org/abs/math/0111087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62590 | |
| dc.subject | Group Theory | |
| dc.subject | 20H15, 20E34, 20F69 | |
| dc.title | On asymptotic dimension of groups acting on trees | |
| dc.type | text |