Buildings with isolated subspaces and relatively hyperbolic Coxeter groups

Details Buildings with isolated subspaces and relatively hyperbolic Coxeter groups Buildings with isolated subspaces and relatively hyperbolic Coxeter groups

2007-03-27

arxiv.org/abs/math/0703799v2

Mathematics

Group Theory

11 pages. Title has been extended; Theorem A has been strengthened; Theorem B is new

Scientific paper

Let $(W, S)$ be a Coxeter system. We give necessary and sufficient conditions on the Coxeter diagram of $(W, S)$ for $W$ to be relatively hyperbolic with respect to a collection of finitely generated subgroups. The peripheral subgroups are necessarily parabolic subgroups (in the sense of Coxeter group theory). As an application, we present a criterion for the maximal flats of the Davis complex of $(W,S)$ to be isolated. If this is the case, then the maximal affine sub-buildings of any building of type $(W,S)$ are isolated.

Affiliated with

Also associated with

No associations

Rating

Buildings with isolated subspaces and relatively hyperbolic 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 Buildings with isolated subspaces and relatively hyperbolic Coxeter groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Buildings with isolated subspaces and relatively hyperbolic Coxeter groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-372894