Rational invariants for subgroups of \(S_5\) and \(S_7\)

DOI10.1016/j.jalgebra.2014.05.015zbMath1298.13009arXiv1308.0423OpenAlexW2964006044MaRDI QIDQ403811

Ming-chang Kang, Bao-Shan Wang

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0423

zbMATH Keywords

Noether's problemrationality problemrational invariants

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Rationality questions in algebraic geometry (14E08)

Related Items (5)

Rationality problem for transitive subgroups of \(S_8\) ⋮ Noether's problem for some subgroups of \(S_{14}\): the modular case ⋮ On a rationality problem for fields of cross-ratios II ⋮ Rationality problem for some transitive subgroups of S₁₄ ⋮ Invariants of wreath products and subgroups of \(S_6\)

Cites Work

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• Rationality problem of three-dimensional monomial group actions
• Noether's problem for \(A_ 5\)
• Generic Galois extensions and problems in field theory
• Finite group actions on rational function fields
• Rational functions invariant under a finite Abelian group
• Three-dimensional purely monomial group actions
• Rationality problem of \(GL_{4}\) group actions.
• Noether's problem for dihedral 2-groups
• Rationality of some projective linear actions
• A constructive approach to Noether's problem
• Some actions of symmetric groups
• The rationality problem for finite subgroups of \(\mathrm{GL}_4(\mathbb Q)\)
• Negative solutions to three-dimensional monomial Noether problem
• Invariants of wreath products and subgroups of \(S_6\)
• Noether's problem for dihedral 2-groups. II
• The rationality problem for four-dimensional linear actions
• Rationality problem of three-dimensional purely monomial group actions: the last case
• Reduction theorems for Noether’s problem
• On the Pure Transcendence of Certain Fields of Rational Functions

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