Irreducible Coxeter groups
| dc.creator | Paris, Luis | |
| dc.date | 2004-12-10 | |
| dc.date | 2005-07-05 | |
| dc.date.accessioned | 2026-07-07T05:15:12Z | |
| dc.date.available | 2026-07-07T05:15:12Z | |
| dc.description | We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that a non-spherical and non-affine Coxeter group is strongly indecomposable in the sense that all its finite index subgroups are (directly) indecomposable. We prove that a Coxeter group has a decomposition as a direct product of indecomposable groups, and that such a decomposition is unique up to a central automorphism and a permutation of the factors. We prove that a Coxeter group has a virtual decomposition as a direct product of strongly indecomposable groups, and that such a decomposition is unique up to commensurability and a permutation of the factors. | |
| dc.identifier | https://arxiv.org/abs/math/0412214 | |
| dc.identifier | http://arxiv.org/abs/math/0412214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73551 | |
| dc.subject | Group Theory | |
| dc.subject | 20F55 | |
| dc.title | Irreducible Coxeter groups | |
| dc.type | text |