Minimality of the boundary of a right-angled Coxeter system
| dc.creator | Hosaka, Tetsuya | |
| dc.date | 2006-06-01 | |
| dc.date | 2006-11-12 | |
| dc.date.accessioned | 2026-07-07T07:14:42Z | |
| dc.date.available | 2026-07-07T07:14:42Z | |
| dc.description | In this paper, we show that the boundary $\partialΣ(W,S)$ of a right-angled Coxeter system $(W,S)$ is minimal if and only if $W_{\tilde{S}}$ is irreducible, where $W_{\tilde{S}}$ is the minimum parabolic subgroup of finite index in $W$. We also provide several applications and remarks. In particular, we obtain that for a right-angled Coxeter system $(W,S)$, the set $\{w^{\infty} | w\in W, o(w)=\infty\}$ is dense in the boundary $\partialΣ(W,S)$. | |
| dc.identifier | https://arxiv.org/abs/math/0606020 | |
| dc.identifier | http://arxiv.org/abs/math/0606020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112987 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M07, 20F65, 20F55 | |
| dc.title | Minimality of the boundary of a right-angled Coxeter system | |
| dc.type | text |