Classification of p-groups of automorphisms of Riemann surfaces and their lower central series

DOI10.1017/S0017089500006881zbMath0626.20035OpenAlexW1965389464MaRDI QIDQ3029196

Reza Zomorrodian

Publication date: 1987

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500006881

zbMATH Keywords

Fuchsian groupslower central seriessubgroup of finite indexautomorphism p-groupfinite p-group acting on a compact Riemann surface

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Representations of groups as automorphism groups of algebraic systems (20F29) Derived series, central series, and generalizations for groups (20F14) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (9)

Bounds for the Order of Supersoluble Automorphism Groups of Riemann Surfaces ⋮ Subdirect products of \(M^*\)-groups. ⋮ On Nilpotent Groups of Automorphisms of Klein Surfaces ⋮ Large odd prime power order automorphism groups of algebraic curves in any characteristic ⋮ \(p\)-groups of automorphisms of compact non-orientable Riemann surfaces ⋮ On compact Riemann surfaces with a maximal number of automorphisms ⋮ Large Groups of Symmetries of Handlebodies ⋮ The Symmetric Genus of p-Groups ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

Cites Work

• Subgroups of infinite index in Fuchsian groups
• Nilpotent Automorphisms Groups of Riemann Surfaces
• Abelian Groups of Automorphisms of Compact Riemann Surfaces
• Unnamed Item

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