Rationality problem for some meta-abelian groups

DOI10.1016/j.jalgebra.2009.04.030zbMath1181.13004OpenAlexW2013855865MaRDI QIDQ731916

Ming-chang Kang

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.04.030

zbMATH Keywords

Noether's problemrationality problemmultiplicative group actionsmeta-abelian group actions

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (10)

Noether's Problem for p-Groups with an Abelian Subgroup of Index p ⋮ Noether's problem on semidirect product groups ⋮ Noether's problem for some semidirect products ⋮ Noether's problem for \(p\)-groups with a cyclic subgroup of index \(p^{2}\) ⋮ Rationality of three-dimensional quotients by monomial actions ⋮ Noether's problem for the groups with a cyclic subgroup of index 4 ⋮ Retract rational fields ⋮ Frobenius groups and retract rationality ⋮ Noether's problem for groups of order 243 ⋮ Degree three unramified cohomology groups and Noether's problem for groups of order 243

Cites Work

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• Rational invariants of meta-abelian groups of linear automorphisms
• Noether's problem over an algebraically closed field
• Lüroth's problem
• Noether's problem for groups of order 32
• Rational functions invariant under a finite Abelian group
• Rationality of some projective linear actions
• Noether's problem for metacyclic \(p\)-groups
• THE BRAUER GROUP OF QUOTIENT SPACES BY LINEAR GROUP ACTIONS
• On the Invariants of Finite Groups Having an Abelian Normal Subgroup of Prime Index
• Rationality of \(P\)-group actions

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