A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in \(\mathbb{R}\)

DOI10.1016/J.LAA.2014.05.003zbMath1294.22008arXiv1401.4244OpenAlexW2035342980MaRDI QIDQ2015079

Joonhyung Kim, Sungwoon Kim

Publication date: 18 June 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4244

zbMATH Keywords

Fuchsian groupsKleinian groupstrace fields

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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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• Reversible complex hyperbolic isometries
• Quaternionic hyperbolic Fuchsian groups.
• A characterization of Fuchsian groups acting on complex hyperbolic spaces

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