Parabolic subgroups of Garside groups
| dc.creator | Godelle, Eddy | |
| dc.date | 2004-02-24 | |
| dc.date.accessioned | 2026-07-07T05:05:41Z | |
| dc.date.available | 2026-07-07T05:05:41Z | |
| dc.description | A Garside monoid is a cancellative monoid with a finite lattice generating set; a Garside group is the group of fractions of a Garside monoid. The family of Garside groups contains the Artin-Tits groups of spherical type. We generalise the well-known notion of a parabolic subgroup of an Artin-Tits group into that of a parabolic subgroup of a Garside group. We also define the more general notion of a Garside subgroup of a Garside group, which is related to the notion of LCM-homomorphisms between Artin-Tits groups. We prove that most of the properties of parabolic subgroups extend to this subgroups. | |
| dc.identifier | https://arxiv.org/abs/math/0402389 | |
| dc.identifier | http://arxiv.org/abs/math/0402389 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70259 | |
| dc.subject | Group Theory | |
| dc.subject | 20F36 | |
| dc.title | Parabolic subgroups of Garside groups | |
| dc.type | text |