Relations de tresses dans SL$_n$

Raphaël Bonis (1)

1 Chercheur indépendant

For the unimodular group and for unipotent and monomial maximal subgroups, presentations were established using braid relations with parameters. The natural braid presentation of this type related to SLn defines a group Gn strictly bigger than SL_n. We describe the kernel of the surjection from Gn to SL_n.

Mots clés: Presentation of SL$_n$; braid relations

Domaines: Théorie des groupes [math.GR]; K-théorie et homologie [math.KT]

Raphaël Bonis. Relations de tresses dans SL$_n$. 2013. ⟨hal-00823400v2⟩