Growth of the asymptotic dimension function for groups
| dc.creator | Bell, Gregory C. | |
| dc.date | 2005-04-28 | |
| dc.date.accessioned | 2026-07-07T05:19:29Z | |
| dc.date.available | 2026-07-07T05:19:29Z | |
| dc.description | It is relatively easy to construct a finitely generated group with infinite asymptotic dimension: the restricted wreath product of $\mathbb{Z}$ by $\mathbb{Z}$ provides an example. In light of this, it becomes interesting to consider the rate of growth of the asymptotic dimension function of a group. Loosely speaking, we measure the dimension on $λ$-scale and let $λ$ increase to infinity to recover the asymptotic dimension. In this paper we consider how the asymptotic dimension function is affected by different constructions involving groups. | |
| dc.description | 14 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0504577 | |
| dc.identifier | http://arxiv.org/abs/math/0504577 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75034 | |
| dc.subject | Group Theory | |
| dc.subject | Primary: 20F69, Secondary 20E06, 20E22, 20F65 | |
| dc.title | Growth of the asymptotic dimension function for groups | |
| dc.type | text |