On open normal subgroups of parahorics

Details On open normal subgroups of parahorics On open normal subgroups of parahorics

2005-02-24

arxiv.org/abs/math/0502523v2

Mathematics

Group Theory

40 pages

Scientific paper

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 $G$.

Affiliated with

Also associated with

No associations

Rating

On open normal subgroups of parahorics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On open normal subgroups of parahorics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On open normal subgroups of parahorics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235707