FINITE GROUPS AS GALOIS GROUPS OF FUNCTION FIELDS WITH INFINITE FIELD OF CONSTANTS

DOI10.1017/S1446788710000108zbMath1194.12004OpenAlexW1991799328MaRDI QIDQ3577301

C. Álvarez-García, Gabriel Daniel Villa-Salvador

Publication date: 22 July 2010

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

Full work available at URL: https://doi.org/10.1017/s1446788710000108

zbMATH Keywords

Galois groupGalois extensioninverse Galois problemGalois theorygenussolvable groupfull automorphism groupalgebraic function fieldrational function fieldplaceCastelnuovo-Severi inequalityperfect fieldramifiedseparably generated extension

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Arithmetic theory of algebraic function fields (11R58) Inverse Galois theory (12F12) Representations of groups as automorphism groups of algebraic systems (20F29) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper
• Automorphisms of congruence function fields
• Lectures on the theory of algebraic functions of one variable
• Algebraic function fields with solvable automorphism group in characteristic p
• Algebraic Function Fields and Codes
• The Automorphism Group of a Function Field

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