Invariants of finite groups acting non-linearly on rational function fields

DOI10.1016/0022-4049(80)90007-9zbMath0471.12018OpenAlexW1999064040MaRDI QIDQ1157360

Deborah Diller Triantaphyllou

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90007-9

zbMATH Keywords

invariantsrational function fieldpurely transcendental extensiongroups acting on rational function fieldsrepresentable as Galois group

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Transcendental field extensions (12F20)

Related Items (3)

A minimal example of a non—rational monomial automorphism ⋮ Finite group actions on rational function fields ⋮ Ruled Function Fields

Cites Work

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• Rational functions invariant under a finite Abelian group
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Invariant rational functions and a problem of Steenrod
• On Rational Points on Conics
• Invariants of Certain Groups I

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