Discrete subgroups of PU(2, 1) with screw parabolic elements

DOI10.1017/S0305004107000941zbMath1153.22011MaRDI QIDQ3503696

Shigeyasu Kamiya, John R. Parker

Publication date: 9 June 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

complex hyperbolic spacediscrete group

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (6)

Minimal Lagrangian surfaces in \(\mathbb{CH}^2\) and representations of surface groups into \(SU(2,1)\) ⋮ Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups ⋮ Shimizu's lemma for quaternionic hyperbolic space ⋮ On cusp regions associated to screw-parabolic maps ⋮ A discreteness criterion for subgroups of \({\mathbf{PU}(2,1)}\) with screw parabolic elements ⋮ JØRGENSEN’S INEQUALITY FOR QUATERNIONIC HYPERBOLIC SPACE WITH ELLIPTIC ELEMENTS

Cites Work

• Unnamed Item
• Möbius transformations in several dimensions
• Uniform discreteness and Heisenberg translations
• Discrete subgroups of complex hyperbolic motions
• Uniform discreteness and Heisenberg screw motions
• Jørgensen's inequality for complex hyperbolic space.
• On discontinuous groups operating on the product of the upper half planes
• On Discrete Subgroups of PU(1,2;C ) with Heisenberg Translations
• SHIMIZU’S LEMMA FOR COMPLEX HYPERBOLIC SPACE
• On the Stable Basin Theorem

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