GRAPHICAL REPRESENTATION OF MAXIMAL GROUPS OF GENUS TWO AND THEIR HYPERELLIPTIC CURVES

DOI10.17654/GT021020105zbMath1429.20034OpenAlexW2804900295MaRDI QIDQ5204559

Reza Zomorrodian

Publication date: 4 December 2019

Published in: JP Journal of Geometry and Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/gt021020105

zbMATH Keywords

Riemann surfacesautomorphism groupsCayley graphsgenus of a curvehyperelliptic curves of genus 2maximal order of automorphism groupsmaximal soluble groupsmaximal soluble or nilpotent automorphism groupspermutation representation of groupspresentations of groups in generators and relationsthe action of groups

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Automorphisms of abstract finite groups (20D45) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Bounds for the Order of Supersoluble Automorphism Groups of Riemann Surfaces
• Curves of genus 2 with group of automorphisms isomorphic to 𝐷₈ or 𝐷₁₂
• Nilpotent Automorphisms Groups of Riemann Surfaces
• Isolated points in the branch locus of the moduli space of compact Riemann surfaces
• On a theorem of supersoluble automorphism groups
• 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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