Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups
DOI10.1155/2014/684594zbMath1474.20091OpenAlexW1973902777WikidataQ59040577 ScholiaQ59040577MaRDI QIDQ1724733
Huani Qin, Wensheng Cao, Yue Ping Jiang
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/684594
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Functions of hypercomplex variables and generalized variables (30G35) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)
Cites Work
- Unnamed Item
- Unnamed Item
- Discreteness criteria based on a test map in \(\mathrm{PU}(n, 1)\)
- Algebraic convergence of finitely generated Kleinian groups in all dimensions
- On discrete Möbius groups in all dimensions: A generalization of Jørgensen's inequality
- Algebraic convergence theorems of \(n\)-dimensional Kleinian groups.
- Möbius transformations in several dimensions
- Uniform discreteness and Heisenberg screw motions
- Jørgensen's inequality for complex hyperbolic space.
- Discreteness criteria for subgroups in complex hyperbolic space
- Discreteness criterions of isometric subgroups for quaternionic hyperbolic space.
- JORGENSEN'S INEQUALITY AND COLLARS IN n-DIMENSIONAL QUATERNIONIC HYPERBOLIC SPACE
- Discrete subgroups of PU(2, 1) with screw parabolic elements
- DISCRETE AND DENSE SUBGROUPS ACTING ON COMPLEX HYPERBOLIC SPACE
- On sequences of finitely generated discrete groups
- ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS
- On Discrete Groups of Mobius Transformations
- Geometry of quaternionic hyperbolic manifolds
- On the Discreteness and Convergence in n -Dimensional Möbius Groups
- ALGEBRAIC CONVERGENCE THEOREMS OF COMPLEX KLEINIAN GROUPS
- JØRGENSEN’S INEQUALITY FOR QUATERNIONIC HYPERBOLIC SPACE WITH ELLIPTIC ELEMENTS
- ON THE ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS IN ALL DIMENSIONS
- Discreteness criteria of Möbius groups of high dimensions and convergence theorems of Kleinian groups
- Quaternions and matrices of quaternions
This page was built for publication: Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups
