Retract rational fields

DOI10.1016/j.jalgebra.2011.10.024zbMath1239.13012arXiv0911.2521OpenAlexW2964310638MaRDI QIDQ420665

Ming-chang Kang

Publication date: 23 May 2012

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

Full work available at URL: https://arxiv.org/abs/0911.2521

zbMATH Keywords

Noether's problemrationality problemmultiplicative group actionsmultiplicative group actions Noether's problemretract rational

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Inverse Galois theory (12F12) Transcendental field extensions (12F20) Rationality questions in algebraic geometry (14E08)

Related Items

Rationality Problem for Algebraic Tori, The center of the generic \(G\)-crossed product, Three-dimensional purely quasimonomial actions, Local-global invariants of finite and infinite groups: around Burnside from another side., Norm one Tori and Hasse norm principle, Rationality problems for relation modules of dihedral groups, Noether's problem for the groups with a cyclic subgroup of index 4, Bogomolov multipliers and retract rationality for semidirect products, Frobenius groups and retract rationality, The Bogomolov multiplier of rigid finite groups, Noether's problem for groups of order 243, Rationality problem for norm one tori, Rationality problem for norm one tori in small dimensions, Norm one tori and Hasse norm principle. II: Degree 12 case, On Noether's problem for cyclic groups of prime order, Multiplicative Invariant Fields of Dimension ≤6

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