Residual nilpotency of Fuchsian groups

zbMath0539.20026MaRDI QIDQ793847

A. M. Macbeath

Publication date: 1984

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

residually finiteresidually nilpotentcocompact Fuchsian groupsconjugacy classes of maximal finite cyclic subgroupsnilpotent automorphism groups of Riemann surfacesp-local groups

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Residual properties and generalizations; residually finite groups (20E26) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

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Bounds for the Order of Supersoluble Automorphism Groups of Riemann Surfaces, On a Theorem by Leon Greenberg, Maximal Normal Subgroups of the Modular Group, Groups related to compact Riemann surfaces, A transcendental view of the space of algebraic Riemann surfaces, Nilpotent groups of automorphisms of families of Riemann surfaces