Local recognition of reflection graphs on Coxeter groups

Details Local recognition of reflection graphs on Coxeter groups Local recognition of reflection graphs on Coxeter groups

2008-05-14

arxiv.org/abs/0805.2403v1

Mathematics

Group Theory

Diploma thesis as submitted at TU Darmstadt, 31-Mar 2007, with minor corrections (93 pages)

Scientific paper

We provide local recognition results for the reflection graphs on spherical Coxeter groups. In particular, we study the case $F_4$ which is locally recognizable under additional constraints only. It is then demonstrated in the cases $A_n$ and $F_4$ how these graph theoretical recognition results can be used to characterize the corresponding Coxeter groups in terms of their reflection centralizers. Finally, we outline the connection to the local recognition of Chevalley groups which is particularly important in the classification of the finite simple groups.

Affiliated with

Also associated with

No associations

Rating

Local recognition of reflection graphs on Coxeter 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 Local recognition of reflection graphs on Coxeter groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local recognition of reflection graphs on Coxeter groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-56387