A cutting and pasting of noncompact polygons with applications to Fuchsian groups

DOI10.1007/BF02392095zbMath0427.30039MaRDI QIDQ1136892

Norman Purzitsky

Publication date: 1979

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Fuchsian groupsfundamental domainsfree products of cyclic groupsSchottky generators

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (9)

Fundamental regions and the type problem for a Riemann surface ⋮ Vanishing cycles in holomorphic foliations by curves and foliated shells ⋮ The constructive membership problem for discrete two-generator subgroups of \(\operatorname{SL}_2(\mathbb{R})\) ⋮ Large and small covers of a hyperbolic manifold ⋮ ON STABILIZERS OF SOME TEICHMÜLLER DISKS IN POINTED MAPPING CLASS GROUPS ⋮ Veech groups without parabolic elements ⋮ Hyperbolic Structures for Surfaces of Infinite Type ⋮ Quasi Fricke polygons and the Nielsen convex region ⋮ The constructive membership problem for discrete free subgroups of rank 2 of

Cites Work

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• Fundamental polygons for Fuchsian groups
• On finitely generated Fuchsian groups
• On Poincaré's theorem for fundamental polygons
• Some remarks on discontinuous groups
• Groups of hyperbolic crystallography
• A Complete Description of the Normal Subgroups of Genus One of the Modular Group

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