On Irreducible, Infinite, Non-affine Coxeter Groups
| dc.creator | Qi, Dongwen | |
| dc.date | 2006-03-29 | |
| dc.date | 2006-04-06 | |
| dc.date.accessioned | 2026-07-07T07:07:18Z | |
| dc.date.available | 2026-07-07T07:07:18Z | |
| dc.description | The following results are proved: The center of any finite index subgroup of an irreducible, infinite, non-affine Coxeter group is trivial; Any finite index subgroup of an irreducible, infinite, non-affine Coxeter group cannot be expressed as a product of two nontrivial subgroups. These two theorems imply a unique decomposition theorem for a class of Coxeter groups. We also obtain that the orbit of each element other than the identity under the conjugation action in an irreducible, infinite, non-affine Coxeter group is an infinite set. This implies that an irreducible, infinite Coxeter group is affine if and only if it contains an abelian subgroup of finite index. | |
| dc.description | 15 pages, the abstract is revised, one corollary and its proof are added in the Introduction, two references added | |
| dc.identifier | https://arxiv.org/abs/math/0603670 | |
| dc.identifier | http://arxiv.org/abs/math/0603670 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110346 | |
| dc.subject | Group Theory | |
| dc.subject | Primary 20F55; Secondary 20F65, 57M07, 53C23 | |
| dc.title | On Irreducible, Infinite, Non-affine Coxeter Groups | |
| dc.type | text |