Scales for co-compact embeddings of virtually free groups
| dc.creator | Baumgartner, Udo | |
| dc.date | 2006-04-06 | |
| dc.date | 2006-04-10 | |
| dc.date.accessioned | 2026-07-07T07:10:37Z | |
| dc.date.available | 2026-07-07T07:10:37Z | |
| dc.description | Let $Γ$ be a group which is virtually free of rank at least 2 and let $\mathcal{F}_{td}(Γ)$ be the family of totally disconnected, locally compact groups containing $Γ$ as a co-compact lattice. We prove that the values of the scale function with respect to groups in $\mathcal{F}_{td}(Γ)$ evaluated on the subset $Γ$ have only finitely many prime divisors. This can be thought of as a uniform property of the family $\mathcal{F}_{td}(Γ)$. | |
| dc.description | 12 pages; key words: uniform lattice, virtually free group, totally disconnected group, scale function (Error in references corrected in version 2) | |
| dc.identifier | https://arxiv.org/abs/math/0604151 | |
| dc.identifier | http://arxiv.org/abs/math/0604151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111475 | |
| dc.subject | Group Theory | |
| dc.subject | 22D05; 57M07; 20E08 | |
| dc.title | Scales for co-compact embeddings of virtually free groups | |
| dc.type | text |