Cyclic p-groups of symmetries of surfaces

DOI10.1017/S0017089500008247zbMath0733.57007OpenAlexW2157302208MaRDI QIDQ3359408

Ravindra S. Kulkarni, Colin Maclachlan

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1017/s0017089500008247

zbMATH Keywords

symmetryorientable surfacecyclicRiemann-Hurwitz formulap-groupreduced genus

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Finite nilpotent groups, (p)-groups (20D15) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (15)

Groups of automorphisms of Riemann and Klein surfaces, our joint work with Marston Conder ⋮ The symmetric genus of metacyclic groups ⋮ Cyclic actions on compression bodies ⋮ Finite symmetries of surfaces of p-groups of co-class 1 ⋮ A new approach to the genus spectra of abelian \(p\)-groups ⋮ A lower bound for the number of finitely maximal 𝐶_{𝑝}-actions on a compact oriented surface ⋮ On the genus spectrum for p-groups of exponent p and p-groups of maximal class ⋮ \(p\)-groups of automorphisms of compact non-orientable Riemann surfaces ⋮ A DIOPHANTINE FROBENIUS PROBLEM RELATED TO RIEMANN SURFACES ⋮ A STRUCTURED DESCRIPTION OF THE GENUS SPECTRUM OF ABELIAN p-GROUPS ⋮ On the existence of groups of automorphisms of compact Riemann and Klein surfaces ⋮ Surface symmetries and $PSL_2(p)$ ⋮ Generating functions for actions on handlebodies with genus zero quotient ⋮ Extensions of finite cyclic group actions on bordered surfaces ⋮ The Symmetric Genus of p-Groups

Cites Work

• On automorphism groups of compact Riemann surfaces of genus 5
• Symmetries of surfaces
• The genus of compact Riemann surfaces with maximal automorphism group
• Torsion in the mapping class group and its cohomology
• Nilpotent Automorphisms Groups of Riemann Surfaces
• NORMAL SUBGROUPS OF FUCHSIAN GROUPS
• Generators for Alternating and Symmetric Groups
• The genus of PSl2 (q).
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• Abelian Groups of Automorphisms of Compact Riemann Surfaces
• A Bound for the Number of Automorphisms of a Compact Riemann Surface
• On the Number of Automorphisms of a Closed Riemann Surface

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