PROPERTY (FA) AND LATTICES IN SU(2,1)

DOI10.1142/S0218196707004165zbMath1179.22010arXivmath/0512180MaRDI QIDQ3502830

Matthew Stover

Publication date: 20 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512180

zbMATH Keywords

discrete subgroups of Lie groupscomplex hyperbolic geometry

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Discrete subgroups of Lie groups (22E40)

Related Items (5)

PROPERTY (FA) OF THE GAUSS–PICARD MODULAR GROUP ⋮ Finite subgroups of arithmetic lattices in \(U (2,1)\) ⋮ Noncoherence of arithmetic hyperbolic lattices ⋮ ERRATUM AND ADDENDUM: "PROPERTY (FA) AND LATTICES IN SU(2,1)" ⋮ Aspherical 4-manifolds of odd Euler characteristic

Cites Work

• Non-arithmetic groups in Lobachevsky spaces
• Automorphic forms and the periods of abelian varieties
• Archimedean superrigidity and hyperbolic geometry
• On the rigidity of certain fundamental groups, arithmeticity of complex hyperbolic lattices, and the ``fake projective planes
• Integrality and arithmeticity of co-compact lattice corresponding to certain complex two-ball quotients of Picard number one
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• The geometry of the Eisenstein-Picard modular group
• Automorphic forms and rational homology 3-spheres
• Pro-\(p\) groups and towers of rational homology spheres
• An Algebraic Surface with K Ample, (K 2 ) = 9, p g = q = 0
• Commensurabilities among Lattices in PU (1,n). (AM-132)

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