Bounds for the Order of Supersoluble Automorphism Groups of Riemann Surfaces

DOI10.2307/2047775zbMath0692.20039OpenAlexW4242330214MaRDI QIDQ3033974

Reza Zomorrodian

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047775

zbMATH Keywords

Fuchsian groupscompact Riemann surfacesgenusfinite supersoluble group of automorphisms

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Compact Riemann surfaces and uniformization (30F10) Automorphisms of abstract finite groups (20D45) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Finite nilpotent groups, (p)-groups (20D15) Classification theory of Riemann surfaces (30F20)

Related Items (5)

On the exponent of the automorphism group of a compact Riemann surface ⋮ Metacyclic groups as automorphism groups of compact Riemann surfaces ⋮ Abelian actions on compact bordered Klein surfaces ⋮ GRAPHICAL REPRESENTATION OF MAXIMAL GROUPS OF GENUS TWO AND THEIR HYPERELLIPTIC CURVES ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

Cites Work

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• Residual nilpotency of Fuchsian groups
• Symmetries of surfaces
• Groups related to compact Riemann surfaces
• Some remarks on discontinuous groups
• Classification of p-groups of automorphisms of Riemann surfaces and their lower central series
• Residual Properties of Infinite Soluble Groups
• Nilpotent Automorphisms Groups of Riemann Surfaces
• NORMAL SUBGROUPS OF FUCHSIAN GROUPS
• On a Theorem of Hurwitz
• Subgroups of Fuchsian Groups and Finite Permutation Groups

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