Braid groups and symplectic Steinberg groups

DOI10.2140/akt.2023.8.669zbMath1527.19001arXiv2201.07153MaRDI QIDQ6087560

François Digne, Christian Kassel

Publication date: 12 December 2023

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07153

zbMATH Keywords

braid groupArtin groupSteinberg groupgroup presentationsymplectic modular group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Discrete subgroups of Lie groups (22E40) Linear algebraic groups over global fields and their integers (20G30) Classical groups (11E57) Central extensions and Schur multipliers (19C09)

Cites Work

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• Tresses, monodromie et le groupe symplectique
• Explizite Präsentation von Chevalleygruppen über Z
• A braid-like presentation of the integral Steinberg group of type \(C_2\)
• Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at \(t=-1\)
• Another presentation for symplectic Steinberg groups
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• On Siegel's modular group
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• Sur certains groupes simples
• ON AN ACTION OF THE BRAID GROUP B_2g+2ON THE FREE GROUP F_2g
• Lectures on Chevalley Groups
• Groupes et algébras de Lie
• Presentation of pure braid groups
• Braid Groups
• Braids and Signatures
• Automorphisms of the Fundamental Group of a Closed, Orientable 2-Manifold
• On a theorem of V. I. arnol'd
• Introduction to Algebraic K-Theory. (AM-72)
• Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés

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