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.
