On dense orbits in the boundary of a Coxeter system
| 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 study the minimality of the boundary of a Coxeter system. We show that for a Coxeter system $(W,S)$ if there exist a maximal spherical subset $T$ of $S$ and an element $s_0\in S$ such that $m(s_0,t)\ge 3$ for each $t\in T$ and $m(s_0,t_0)=\infty$ for some $t_0\in T$, then every orbit $Wα$ is dense in the boundary $\partialΣ(W,S)$ of the Coxeter system $(W,S)$, hence $\partialΣ(W,S)$ is minimal, where $m(s_0,t)$ is the order of $s_0t$ in $W$. | |
| dc.identifier | https://arxiv.org/abs/math/0502272 | |
| dc.identifier | http://arxiv.org/abs/math/0502272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74180 | |
| dc.subject | Group Theory | |
| dc.subject | 57M07, 20F65, 20F55 | |
| dc.title | On dense orbits in the boundary of a Coxeter system | |
| dc.type | text |