A note on trace fields of complex hyperbolic groups

DOI10.4171/GGD/229zbMath1295.30098arXiv1303.1701MaRDI QIDQ399412

Nikolay Gusevskii, Heleno Cunha

Publication date: 19 August 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1701

zbMATH Keywords

complex hyperbolic groupstrace fields

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (3)

A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields ⋮ Complex and quaternionic hyperbolic Kleinian groups with real trace fields ⋮ Quaternionic hyperbolic Kleinian groups with commutative trace skew-fields

Cites Work

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• Trace fields of subgroups of \(\mathrm{SU}(n,1)\)
• The geometry of the Gauss-Picard modular group
• The moduli space of complex geodesics in the complex hyperbolic plane
• The moduli space of points in the boundary of complex hyperbolic space
• On the moduli space of quadruples of points in the boundary of complex hyperbolic space
• Lifting representations to covering groups
• Complex hyperbolic quasi-Fuchsian groups and Toledo's invariant
• Complex hyperbolic Kleinian groups with limit set a wild knot.
• Representations of free Fuchsian groups in complex hyperbolic space
• The geometry of the Eisenstein-Picard modular group
• Complex Hyperbolic Structures on Disc Bundles over Surfaces
• A characterization of Fuchsian groups acting on complex hyperbolic spaces
• Foundations of Hyperbolic Manifolds
• A note on Trace-Fields of Kleinian Groups
• TRACES IN COMPLEX HYPERBOLIC GEOMETRY
• Generators of a Picard modular group in two complex dimensions
• RINGS OF DEFINITION OF DENSE SUBGROUPS OF SEMISIMPLE LINEAR GROUPS
• On groups and semigroups of matrices with spectra in a finitely generated field
• Complex hyperbolic manifolds homotopy equivalent to a Riemann surface

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