Normalteiler vom Geschlecht eins in freien Produkten endlicher zyklischer Gruppen. (Normal subgroups of genus one in free products of finite cyclic groups)

DOI10.1007/BF03323275zbMath0623.20032MaRDI QIDQ1091471

Gabriele Kern-Isberner, Gerhard Rosenberger

Publication date: 1987

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

fundamental groupsmodular groupcoveringsfree productRiemann-Hurwitz relationHecke groupnumber of normal subgroupsgenus one normal subgroupsintegral lattice points

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Lattices and convex bodies (number-theoretic aspects) (11H06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (1)

Cyclically Presented Groups Embedded in One-Relator Products of Cyclic Groups

Cites Work

• All generating pairs of all two-generator Fuchsian groups
• Geometry of free products
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Finite groups of mapping classes of surfaces
• Über Erzeugende ebener diskontinuierlicher Gruppen
• Congruence subgroups of positive genus of the modular group
• Maximal normal Fuchsian groups
• Magnitude of the Fourier coefficients of automorphic forms of negative dimension
• A Complete Description of the Normal Subgroups of Genus One of the Modular Group
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