On boundaries of parabolic subgroups of Coxeter groups

Tetsuya Hosaka

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On boundaries of parabolic subgroups of Coxeter groups

Tetsuya Hosaka

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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 $W \partialΣ(W_T,T)$ is dense in the boundary $\partialΣ(W,S)$ of the Coxeter system $(W,S)$, where $\partialΣ(W_T,T)$ is the boundary of $(W_T,T)$.

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BibTeX RIS

Tetsuya Hosaka. 2005-02-13. On boundaries of parabolic subgroups of Coxeter groups. https://arxiv.org/abs/math/0502268

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