Discreteness criterions of isometric subgroups for quaternionic hyperbolic space.

DOI10.1023/B:GEOM.0000033842.14743.9DzbMath1086.20025OpenAlexW1978033857MaRDI QIDQ1771163

Daeyong Kim

Publication date: 7 April 2005

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:geom.0000033842.14743.9d

zbMATH Keywords

discreteness criteriadiscrete groupsJørgensen inequalityquaternionic hyperbolic spaces

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Discontinuous groups of transformations (57S30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (6)

Notes on discrete subgroups of Möbius transformations. ⋮ Quaternionic hyperbolic Fuchsian groups. ⋮ Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups ⋮ A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields ⋮ Shimizu's lemma for quaternionic hyperbolic space ⋮ JØRGENSEN’S INEQUALITY FOR QUATERNIONIC HYPERBOLIC SPACE WITH ELLIPTIC ELEMENTS

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