On open normal subgroups of parahorics
| dc.creator | Courtes, Francois | |
| dc.date | 2005-02-24 | |
| dc.date | 2005-02-25 | |
| dc.date.accessioned | 2026-07-07T05:17:28Z | |
| dc.date.available | 2026-07-07T05:17:28Z | |
| dc.description | Let $F$ be a local complete field with discrete valuation, and let $G$ be a quasi-split group over $F$ which splits over some unramified extension of $F$. Let $P$ be a parahoric subgroup of the group $G(F)$ of $F$-points of $G$; t he open normal pro-nilpotent subgroups of $P$ can be classified using the standa rd normal filtration subgroups of Prasad and Raghanathan. More precisely, we sho w that if $G$ is quasi-simple and satisfies some additional conditions, $H$ is, modulo a subgroup of some maximal torus of $G$, either one of these filtration s ubgroups or the product of one of them by a standard normal filtration subgroup of $P\cap M$, where $M$ is a proper Levi subgroup of $G$. | |
| dc.description | 40 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502523 | |
| dc.identifier | http://arxiv.org/abs/math/0502523 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74313 | |
| dc.subject | Group Theory | |
| dc.subject | 20G25, 20E07 | |
| dc.title | On open normal subgroups of parahorics | |
| dc.type | text |