Supersoluble groups of automorphisms of compact Riemann surfaces

DOI10.1017/S0017089500007886zbMath0702.20035OpenAlexW2014458388MaRDI QIDQ3480263

Grzegorz Gromadzki, Colin Maclachlan

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0017089500007886

zbMATH Keywords

compact Riemann surfacesupersoluble group of automorphisms

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

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 ⋮ On compact Riemann surfaces with a maximal number of automorphisms ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

Cites Work

• Unnamed Item
• Nilpotent Automorphisms Groups of Riemann Surfaces
• On Metabelian Groups of Automorphisms of Compact Riemann Surfaces
• Bordered Klein Surfaces with Maximal Symmetry
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• Abelian Groups of Automorphisms of Compact Riemann Surfaces
• Subgroups of Fuchsian Groups and Finite Permutation Groups

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