Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper

DOI10.1007/BF01161706zbMath0527.12015MaRDI QIDQ595708

Henning Stichtenoth

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173485

zbMATH Keywords

Galois theoryautomorphism groups of algebraic function fieldsrealization of group as Galois group

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (6)

Automorphisms of fields and structures ⋮ On algebraic curves with many automorphisms in characteristic \(p\) ⋮ On a variant of the Beckmann–Black problem ⋮ FINITE GROUPS AS GALOIS GROUPS OF FUNCTION FIELDS WITH INFINITE FIELD OF CONSTANTS ⋮ The Automorphism Group of a Function Field ⋮ All Infinite Groups are Galois Groups Over any Field

Cites Work

• Fundamentalgruppen algebraischer Mannigfaltigkeiten. (Fundamental groups of algebraic varieties)
• Note on a problem of Chowla
• Algebraic function fields with solvable automorphism group in characteristic p
• Die Ungleichung von Castelnuovo.
• The group of automorphisms of algebraic function fields.
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