A series of word-hyperbolic Coxeter groups
| dc.creator | Felikson, Anna | |
| dc.creator | Tumarkin, Pavel | |
| dc.date | 2005-07-19 | |
| dc.date | 2005-10-12 | |
| dc.date.accessioned | 2026-07-07T06:42:38Z | |
| dc.date.available | 2026-07-07T06:42:38Z | |
| dc.description | For each positive integer $k$ we present an example of Coxeter system $(G_k,S_k)$ such that $G_k$ is a word-hyperbolic Coxeter group, for any two generating reflections $s,t\in S_k$ the product $st$ has finite order, and the Coxeter graph of $S_k$ has negative inertia index equal to $k$. In particular, $G_k$ cannot be embedded into pseudo-orthogonal group $O(n,k-1)$ for any $n$ as a reflection group with generating set being reflections w.r.t. $(G_k,S_k)$ | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507389 | |
| dc.identifier | http://arxiv.org/abs/math/0507389 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102118 | |
| dc.subject | Group Theory | |
| dc.subject | 20F55; 51F15 | |
| dc.title | A series of word-hyperbolic Coxeter groups | |
| dc.type | text |