On boundaries of parabolic subgroups of Coxeter groups
| dc.creator | Hosaka, Tetsuya | |
| dc.date | 2005-02-13 | |
| dc.date.accessioned | 2026-07-07T05:16:57Z | |
| dc.date.available | 2026-07-07T05:16:57Z | |
| dc.description | 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 $(W_T,T)$. | |
| dc.description | the full version of the paper "Addendum to `Dense subsets of the boundary of a Coxeter system'" | |
| dc.identifier | https://arxiv.org/abs/math/0502268 | |
| dc.identifier | http://arxiv.org/abs/math/0502268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74176 | |
| dc.subject | Group Theory | |
| dc.subject | 57M07, 20F65, 20F55 | |
| dc.title | On boundaries of parabolic subgroups of Coxeter groups | |
| dc.type | text |