On automorphism groups of a curve as linear groups

DOI10.2969/jmsj/03910051zbMath0611.14027OpenAlexW1968354403MaRDI QIDQ1087605

Izumi Kuribayashi

Publication date: 1987

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03910051

zbMATH Keywords

Riemann-Hurwitz formulatrace characters

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Coverings of curves, fundamental group (14H30) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Differentials on Riemann surfaces (30F30)

Related Items (10)

An Application of the Character Theory to Automorphism Groups of Compact Riemann Surfaces ⋮ Nonequivalent families of group actions on Riemann surfaces ⋮ Automorphism groups of compact Riemann surfaces of genera three and four ⋮ Automorphism groups of compact Riemann surfaces of genus five ⋮ Automorphism groups, isomorphic to \(GL(3,F_ 2)\), of compact Riemann surfaces ⋮ On \(F\)-data of automorphism groups of compact Riemann surfaces. The case of \(A_ 5\) ⋮ On automorphism groups of compact Riemann surfaces of genus 5 ⋮ Subvarieties of Moduli Space Determined by Finite Groups Acting on Surfaces ⋮ Automorphism groups, isomorphic to \(D_ 8\) or \(Q_ 8\), of compact Riemann surfaces ⋮ On automorphism groups of compact Riemann surfaces of genus 4

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