JØRGENSEN’S INEQUALITY FOR QUATERNIONIC HYPERBOLIC SPACE WITH ELLIPTIC ELEMENTS

DOI10.1017/S0004972709000720zbMath1184.30045arXiv0906.1888OpenAlexW2963978054MaRDI QIDQ5187726

Wensheng Cao, Haiou Tan

Publication date: 1 March 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1888

zbMATH Keywords

Jørgensen's inequalityquaternionic hyperbolic spaceelliptic element

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (7)

Notes on discrete subgroups of Möbius transformations. ⋮ Discreteness criterion in \(\mathrm{SL}(2,\mathbb{C})\) by a test map ⋮ ON GEHRING–MARTIN–TAN GROUPS WITH AN ELLIPTIC GENERATOR ⋮ Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups ⋮ Discreteness of hyperbolic isometries by test maps ⋮ Shimizu's lemma for quaternionic hyperbolic space ⋮ ON DISCRETENESS OF SUBGROUPS OF QUATERNIONIC HYPERBOLIC ISOMETRIES

Cites Work

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• DISCRETE AND DENSE SUBGROUPS ACTING ON COMPLEX HYPERBOLIC SPACE
• SHIMIZU’S LEMMA FOR COMPLEX HYPERBOLIC SPACE
• On Discrete Groups of Mobius Transformations
• Geometry of quaternionic hyperbolic manifolds
• On the classification of quaternionic Möbius transformations
• Quaternions and matrices of quaternions

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