Cusps of lattices in rank 1 Lie groups over local fields
| dc.creator | Baumgartner, Udo | |
| dc.date | 2003-02-11 | |
| dc.date.accessioned | 2026-07-07T04:55:10Z | |
| dc.date.available | 2026-07-07T04:55:10Z | |
| dc.description | Let G be the group of rational points of a semisimple algebraic group of rank 1 over a nonarchimedean local field. We improve upon Lubotzky's analysis of graphs of groups describing the action of lattices in G on its Bruhat-Tits tree assuming a condition on unipotents in G. The condition holds for all but a few types of rank 1 groups. A fairly straightforward simplification of Lubotzky's definition of a cusp of a lattice is the key step to our results. We take the opportunity to reprove Lubotzky's part in the analysis from this foundation. | |
| dc.description | to appear in Geometriae Dedicata | |
| dc.identifier | https://arxiv.org/abs/math/0302111 | |
| dc.identifier | http://arxiv.org/abs/math/0302111 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66488 | |
| dc.subject | Group Theory | |
| dc.subject | 22E40; 20G25 | |
| dc.title | Cusps of lattices in rank 1 Lie groups over local fields | |
| dc.type | text |