Arithmeticity of orbifold generalised triangle groups

DOI10.1016/S0022-4049(02)00180-9zbMath1016.20030OpenAlexW2024949356MaRDI QIDQ1861491

Alun G. T. Williams

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00180-9

zbMATH Keywords

fundamental groupsorbifoldsKleinian groupsarithmetic groupstriangle groupscocompact groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

• A characterization of arithmetic Fuchsian groups
• Commutators, collars and the geometry of Möbius groups
• Minimal index torsion-free subgroups of Kleinian groups
• Generalized triangle groups
• A note on Trace-Fields of Kleinian Groups
• Stability and extremality in j⊘rgensen's inequality
• Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups
• 2-generator arithmetic Kleinian groups
• Two-Generator Arithmetic Kleinian Groups II
• Arithmeticity, discreteness and volume
• 2-Generator arithmetic Kleinian groups III
• Euler characteristics for orbifold generalized triangle groups
• The non-compact arithmetic generalized triangle groups.
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