On discrete generalised triangle groups

DOI10.1017/S0013091500019210zbMath0836.20070OpenAlexW2123587710MaRDI QIDQ4863096

Marcel Hagelberg, Gerhard Rosenberger, Colin Maclachlan

Publication date: 25 February 1996

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500019210

zbMATH Keywords

presentationsEuler characteristiccyclically reduced wordsKleinian groupstriangle groupsgroups of isometriesfundamental regionsgeneralised triangle groupsfinite covolume Kleinian groupsfaithful discrete representationsfinite volume representations

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fundamental group, presentations, free differential calculus (57M05) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (5)

One-Relator Products Induced from Generalized Triangle Groups ⋮ Generalised Fibonacci manifolds ⋮ Discreteness criteria for \(\mathcal{RP}\) groups ⋮ Chebyshev polynomials and inequalities for Kleinian groups ⋮ Torsion free commutator subgroups of generalized Coxeter groups.

Cites Work

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• Euler characteristics of 3-manifold groups and discrete subgroups of SL(2, \({\mathbb{C}})\)
• A note on generalized triangle groups
• Eine Bemerkung zu einer Arbeit von T. Jørgensen
• The groups determined by the relations \(s^l=T^m=(S^{-1}T^{-1}ST)^p=1\). I
• Generalized triangle groups
• Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups
• One-Relator Quotients and Free Products of Cyclics
• Euler characteristic for one-relator products of cyclics

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