Jørgensen number and arithmeticity

DOI10.1090/S1088-4173-09-00196-9zbMath1196.30035arXiv0905.1318MaRDI QIDQ3559534

Jason Callahan

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1318

zbMATH Keywords

arithmetic groupsJørgensen groups

Mathematics Subject Classification ID

Related Items (4)

Gehring-Martin-Tan numbers and Tan numbers of elementary subgroups of \(\operatorname{PSL}(2,\mathbb{C})\) ⋮ ON GEHRING–MARTIN–TAN GROUPS WITH AN ELLIPTIC GENERATOR ⋮ On Jørgensen numbers and their analogs for groups of figure-eight orbifolds ⋮ The realization problem for Jørgensen numbers

Uses Software

• Magma
• PARI/GP
• SnapPea

Cites Work

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• A quadratic parabolic group
• On Discrete Groups of Mobius Transformations
• Some extreme discrete groups
• 2-generator arithmetic Kleinian groups
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• Arithmeticity, discreteness and volume
• ARITHMETIC KNOTS IN CLOSED 3-MANIFOLDS
• 2-Generator arithmetic Kleinian groups III
• Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds
• Parabolic Representations of Knot Groups, I
• Maximal Fuchsian groups
• Waist size for cusps in hyperbolic 3-manifolds

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