Metacyclic groups as automorphism groups of compact Riemann surfaces

DOI10.1007/s10711-017-0239-8zbMath1388.14091arXiv1612.06521OpenAlexW3176120659MaRDI QIDQ1678560

Andreas Schweizer

Publication date: 17 November 2017

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06521

zbMATH Keywords

automorphism groupexponentcompact Riemann surfacemetacyclic groupcyclic Sylow subgroup\(Z\)-groupgroup of square-free order

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Compact Riemann surfaces and uniformization (30F10) Automorphisms of curves (14H37)

Related Items

Geometry of the 1-skeleta of singular nerves of moduli spaces of Riemann surfaces ⋮ Nilpotent groups of automorphisms of families of Riemann surfaces

Cites Work

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• On the exponent of the automorphism group of a compact Riemann surface
• Classifying finite group actions on surfaces of low genus
• On genuses of compact Riemann surfaces admitting solvable automorphism groups
• The symmetric genus of metacyclic groups
• On the orders of automorphisms of a closed Riemann surface
• Solvability of groups of odd order
• Genus spectra for split metacyclic groups
• Bounds for the Order of Supersoluble Automorphism Groups of Riemann Surfaces
• Supersoluble groups of automorphisms of compact Riemann surfaces
• Nilpotent Automorphisms Groups of Riemann Surfaces
• On Metabelian Groups of Automorphisms of Compact Riemann Surfaces
• On Soluble Groups of Automorphism of Riemann Surfaces
• On compact Riemann surfaces with dihedral groups of automorphisms
• On a theorem of supersoluble automorphism groups
• A Bound for the Number of Automorphisms of a Compact Riemann Surface
• On the Number of Automorphisms of a Closed Riemann Surface
• AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME
• Metacyclic groups of automorhisms of compact Riemann surfaces