Mathematics – Group Theory
Scientific paper
2011-08-24
Mathematics
Group Theory
23 pages, 1 figure
Scientific paper
Let G be a complete Kac-Moody group over a finite field. It is known that G possesses a BN-pair structure, all of whose parabolic subgroups are open in G. We show that, conversely, every open subgroup of G has finite index in some parabolic subgroup. The proof uses some new results on parabolic closures in Coxeter groups. In particular, we give conditions ensuring that the parabolic closure of the product of two elements in a Coxeter group contains the respective parabolic closures of those elements.
Caprace Pierre-Emmanuel
Marquis Timothée
No associations
LandOfFree
Open subgroups of locally compact Kac-Moody groups 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 Open subgroups of locally compact Kac-Moody groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Open subgroups of locally compact Kac-Moody groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-318176