Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Parabolic subgroups of Garside groups II: ribbons

Abstract : We introduce and investigate the ribbon groupoid associated with a Garside group. Under a technical hypothesis, we prove that this category is a Garside groupoid. We decompose this groupoid into a semi-direct product of two of its parabolic subgroupoids and provide a groupoid presentation. In order to established the latter result, we describe quasi-centralizers in Garside groups. All results hold in the particular case of Artin-Tits groups of spherical type.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00336999
Contributor : Eddy Godelle <>
Submitted on : Wednesday, November 5, 2008 - 4:16:49 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
Long-term archiving on: : Monday, June 7, 2010 - 9:04:54 PM

Files

ribbgrpd.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00336999, version 1
  • ARXIV : 0811.0751

Collections

Citation

Eddy Godelle. Parabolic subgroups of Garside groups II: ribbons. 2008. ⟨hal-00336999⟩

Share

Metrics

Record views

136

Files downloads

220