Abstract
Let be a Coxeter system. We give necessary and sufficient conditions on the Coxeter diagram of for 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 to be isolated. If this is the case, then the maximal affine sub-buildings of any building of type are isolated.
Citation
Pierre-Emmanuel Caprace. "Buildings with isolated subspaces and relatively hyperbolic Coxeter groups." Innov. Incidence Geom. 10 15 - 31, 2009. https://doi.org/10.2140/iig.2009.10.15
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