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Addendum to ``Dense subsets of the boundary of a Coxeter system'
Authors:Tetsuya Hosaka
Institution:Department of Mathematics, Utsunomiya University, Utsunomiya, 321-8505, Japan
Abstract:In this paper, we investigate boundaries of parabolic subgroups of Coxeter groups. Let $(W,S)$ be a Coxeter system and let $T$ be a subset of $S$ such that the parabolic subgroup $W_T$ is infinite. Then we show that if a certain set is quasi-dense in $W$, then $W \partial\Sigma(W_T,T)$ is dense in the boundary $\partial\Sigma(W,S)$ of the Coxeter system $(W,S)$, where $\partial\Sigma(W_T,T)$ is the boundary of $(W_T,T)$.

Keywords:Boundaries of Coxeter groups
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