On a theorem of Artin, II
| dc.creator | Franco, Nuno | |
| dc.creator | Paris, Luis | |
| dc.date | 2004-11-09 | |
| dc.date.accessioned | 2026-07-07T05:14:07Z | |
| dc.date.available | 2026-07-07T05:14:07Z | |
| dc.description | This paper is a sequel of [A.M. Cohen, L. Paris, {\it On a theorem of Artin}, J. Group Theory {\bf 6} (2003), 421--441]. Let $A$ be an Artin group, let $W$ be its associated Coxeter group, and let $CA$ be its associated coloured Artin group, that is, the kernel of the standard epimorphism $μ: A \to W$. We determine the homomorphisms $\f: A \to W$ that verify $\Im \f \cdot Z(W)= W$, for $A$ irreducible and of spherical type, and we prove that $CA$ is a characteristic subgroup of $A$, if $A$ is of spherical type but not necessarily irreducible. | |
| dc.identifier | https://arxiv.org/abs/math/0411193 | |
| dc.identifier | http://arxiv.org/abs/math/0411193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73157 | |
| dc.subject | Group Theory | |
| dc.subject | 20F36 | |
| dc.title | On a theorem of Artin, II | |
| dc.type | text |