A class of rigid 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 give a new class of rigid Coxeter groups. Let $(W,S)$ be a Coxeter system. Suppose that (0) for each $s,t\in S$ such that $m(s,t)$ is even, $m(s,t)=2$, (1) for each $s\neq t\in S$ such that $m(s,t)$ is odd, $\{s,t\}$ is a maximal spherical subset of $S$, (2) there does not exist a three-points subset $\{s,t,u\}\subset S$ such that $m(s,t)$ and $m(t,u)$ are odd, and (3) for each $s\neq t\in S$ such that $m(s,t)$ is odd, the number of maximal spherical subsets of $S$ intersecting with $\{s,t\}$ is at most two, where $m(s,t)$ is the order of $st$ in the Coxeter group $W$. Then we show that the Coxeter group $W$ is rigid. This is an extension of a result of D.Radcliffe. | |
| dc.description | Part 2 of 3 | |
| dc.identifier | https://arxiv.org/abs/math/0502270 | |
| dc.identifier | http://arxiv.org/abs/math/0502270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74178 | |
| dc.subject | Group Theory | |
| dc.subject | 20F65, 20F55 | |
| dc.title | A class of rigid Coxeter groups | |
| dc.type | text |