Thickness, relative hyperbolicity, and randomness in Coxeter groups
Thickness, relative hyperbolicity, and randomness in Coxeter groups
For right-angled Coxeter groups W , we obtain a condition on that is necessary and sufficient to ensure that W is thick and thus not relatively hyperbolic.We show that Coxeter groups which are not thick all admit canonical minimal relatively hyperbolic structures; further, we show that in such a structure, …