Convex fundamental regions for N.E.C. groups

DOI10.1007/BF01189988zbMath0602.20043MaRDI QIDQ1081703

Ernesto Martínez

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

relationsgeneratorsFuchsian groupsisometries of the hyperbolic planenon-Euclidean crystallographic groupN.E.C. groupsfundamental polygonfundamental regionscompact quotient space

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Other geometric groups, including crystallographic groups (20H15) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Polytopes and polyhedra (52Bxx)

Related Items (4)

Geometrical characterization of \(p\)-hyperelliptic planar Klein surfaces. ⋮ Combinatorial classification of fundamental domains of finite area for planar discontinuous isometry groups ⋮ Hyperbolic polygons and NEC groups ⋮ On the behavior of growth of polygons in semi-regular hyperbolic tessellations

Cites Work

• Unnamed Item
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Über Erzeugende ebener diskontinuierlicher Gruppen
• Canonical polygons for finitely generated Fuchsian groups
• On non-Euclidean crystallographic groups
• Spaces of Subgroups and Teichmüller Space
• The Classification of Non-Euclidean Plane Crystallographic Groups

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