Commensurators of some non-uniform tree lattices and Moufang twin trees
| dc.creator | Abramenko, Peter | |
| dc.creator | Remy, Bertrand | |
| dc.date | 2004-02-18 | |
| dc.date.accessioned | 2026-07-07T05:05:34Z | |
| dc.date.available | 2026-07-07T05:05:34Z | |
| dc.description | Sh. Mozes showed that the commensurator of the lattice ${\rm PSL}_2 \bigl({\bf F}_p[t{}^{-1}] \bigr)$ is dense in the full automorphism group of the Bruhat-Tits tree of valency $p+1$, the latter group being much bigger than ${\rm PSL}_2 \bigl({\bf F}_p((t)) \bigr)$. By G.A. Margulis' criterion, this density is a generalized arithmeticity result. We show that the density of the commensurator holds for many tree-lattices among those called of Nagao type by H. Bass and A. Lubotzky. The result covers many lattices obtained via Moufang twin trees. | |
| dc.description | 23 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0402299 | |
| dc.identifier | http://arxiv.org/abs/math/0402299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70209 | |
| dc.subject | Group Theory | |
| dc.subject | 22F50; 22E20; 51E24; 22E40 | |
| dc.title | Commensurators of some non-uniform tree lattices and Moufang twin trees | |
| dc.type | text |