Jørgensen groups of parabolic type I (finite case)

DOI10.1007/BF03321107zbMath1096.30036OpenAlexW2112366174MaRDI QIDQ2492090

Hiroki Sato, Mikito Oichi, Chang-jun Li

Publication date: 6 June 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321107

zbMATH Keywords

Jørgensen groupsJørgensen inequality, Poincaré's polyhedron theorem

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (5)

Gehring-Martin-Tan numbers and Tan numbers of elementary subgroups of \(\operatorname{PSL}(2,\mathbb{C})\) ⋮ On Jørgensen numbers and their analogs for groups of figure-eight orbifolds ⋮ Jørgensen number and arithmeticity ⋮ The realization problem for Jørgensen numbers ⋮ Jørgensen groups of parabolic type I (finite case)

Cites Work

• A geometric approach to Jørgensen's inequality
• Jørgensen's inequality for classical Schottky groups of real type
• A fundamental polyhedron for the figure-eight knot group
• Jørgensen groups of parabolic type I (finite case)
• An algorithm for 2-generator Fuchsian groups
• Stability and extremality in j⊘rgensen's inequality
• Some Special 2-Generator Kleinian Groups
• Translation extensions of the classical modular group
• On Discrete Groups of Mobius Transformations
• Some extreme discrete groups
• Two-generator discrete subgroups of 𝑃𝑆𝐿(2,𝑅)
• Jørgensen's inequality for classical Schottky groups of real type. II.
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