The geometry of the Gauss-Picard modular group

DOI10.1007/s00208-010-0515-5zbMath1213.14049OpenAlexW2046952634MaRDI QIDQ621301

John R. Parker, Elisha Falbel, Gábor Francsics

Publication date: 2 February 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0515-5

zbMATH Keywords

polyhedrondiscrete subgroupshyperbolic spacefundamental domaintriangle groupsmodular groups

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Linear algebraic groups over global fields and their integers (20G30) Differential geometry of symmetric spaces (53C35) Modular and Shimura varieties (14G35) Classical groups (11E57)

Related Items (17)

Generators for the Euclidean Picard modular groups ⋮ Picard modular groups generated by complex reflections ⋮ PROPERTY (FA) OF THE GAUSS–PICARD MODULAR GROUP ⋮ Generators of the sister of Euclidean Picard modular groups ⋮ A note on trace fields of complex hyperbolic groups ⋮ A presentation for the Eisenstein-Picard modular group in three complex dimensions ⋮ On the geometry of a Picard modular group ⋮ Intrinsic Diophantine approximation in Carnot groups and in the Siegel model of the Heisenberg group ⋮ Presentations for cusped arithmetic hyperbolic lattices ⋮ GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP ⋮ Counting and equidistribution in Heisenberg groups ⋮ Presentations for the Euclidean Picard modular groups ⋮ Hybrid lattices and thin subgroups of Picard modular groups ⋮ Generators of a Picard modular group in two complex dimensions ⋮ A set of generators for the Picard modular group \({SU}(2,1,\mathcal{O}_2)\) ⋮ Punctured spheres in complex hyperbolic surfaces and bielliptic ball quotient compactifications ⋮ GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS

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