Presentations for the Euclidean Picard modular groups

DOI10.1007/s10711-020-00531-9zbMath1469.22006arXiv1909.00251OpenAlexW3020326565MaRDI QIDQ1995583

David Polletta

Publication date: 24 February 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00251

zbMATH Keywords

complex hyperbolic geometrylattices in semisimple Lie groupsPicard modular groupsMacbeath's theorem

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (4)

Picard modular groups generated by complex reflections ⋮ A presentation for the Eisenstein-Picard modular group in three complex dimensions ⋮ On the geometry of a Picard modular group ⋮ Presentations for cusped arithmetic hyperbolic lattices

Uses Software

• Magma
• GitHub

Cites Work

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• The geometry of the Gauss-Picard modular group
• Real reflections, commutators, and cross-ratios in complex hyperbolic space
• The geometry of the Eisenstein-Picard modular group
• Generators and relations for certain special linear groups
• Groups of homeomorphisms of a simply connected space
• Generators for the Euclidean Picard modular groups
• Über die Anzahl der Spitzen einiger arithmetischer Untergruppen unitärer Gruppen
• Geometry of quaternionic hyperbolic manifolds

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