All two generator Fuchsian groups

DOI10.1007/BF01214277zbMath0305.20025MaRDI QIDQ1217203

Norman Purzitsky

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172322

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Discontinuous groups and automorphic forms (11F99) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Automorphic functions (32N99)

Related Items (10)

The lengths of the closed geodesics on a Riemann surface with self- intersections. ⋮ On Marden's universal constant of Fuchsian groups ⋮ The classification of discrete 2-generator subgroups of PSL(2,R) ⋮ The constructive membership problem for discrete two-generator subgroups of \(\operatorname{SL}_2(\mathbb{R})\) ⋮ Riemann surfaces ⋮ Discreteness criteria for \(\mathcal{RP}\) groups ⋮ The geometry of two generator groups: hyperelliptic handlebodies ⋮ Discrete free products of two complex cyclic matrix groups ⋮ Hyperbolic cone metrics and billiards ⋮ Einige Bemerkungen über Untergruppen der \(\mathrm{PSL}(2, \mathbb C)\)

Cites Work

• Unnamed Item
• Doubly generated Fuchsian groups
• Two generator discrete free products
• Two generator Fuchsian groups of genus one
• Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung \(x^2+y^2+z^2=xyz\).
• Correction to Two generator Fuchsian groups of genus one
• Canonical generators of Fuchsian groups

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