Department of Mathematics, Utsunomiya University, Utsunomiya, 321-8505, Japan
Abstract:
In this paper, we investigate boundaries of parabolic subgroups of Coxeter groups. Let be a Coxeter system and let be a subset of such that the parabolic subgroup is infinite. Then we show that if a certain set is quasi-dense in , then is dense in the boundary of the Coxeter system , where is the boundary of .