A note on monomial automorphisms
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Publication:1054788
DOI10.1016/0021-8693(83)90128-XzbMath0519.12016MaRDI QIDQ1054788
Publication date: 1983
Published in: Journal of Algebra (Search for Journal in Brave)
purely transcendental extensionfield extension with transcendence degree 2monomial automorphismrational fixed field
Separable extensions, Galois theory (12F10) Rational points (14G05) Transcendental field extensions (12F20)
Related Items (20)
Rationality Problem for Algebraic Tori ⋮ Rationality problem for transitive subgroups of \(S_8\) ⋮ Rationality of finite groups of monomial automorphisms of k(x,y) ⋮ A Description of an algebraic automorphism in terms of the radical of its minimal polynomial ⋮ Noether's problem on semidirect product groups ⋮ A minimal example of a non—rational monomial automorphism ⋮ Rationality of three-dimensional quotients by monomial actions ⋮ Negative solutions to three-dimensional monomial Noether problem ⋮ Linearizability and rationality of monomial automorphisms of small order ⋮ Noether's problem for some subgroups of \(S_{14}\): the modular case ⋮ Rationality problem of three-dimensional monomial group actions ⋮ Noether’s problem for orientation p-subgroups of symmetric groups ⋮ Finite group actions on rational function fields ⋮ Corrigendum ⋮ A Generalised character theory for modules ⋮ Noether's problem and $\mathbb{Q}$-generic polynomials for the normalizer of the $8$-cycle in $S_8$ and its subgroups ⋮ Noether's problem for four- and five-dimensional linear actions ⋮ Failure of Cancellation for Direct Sums of Line Bundles ⋮ A note on a result of Kuniyoshi ⋮ THE RATIONALITY PROBLEM FOR THREE- AND FOUR-DIMENSIONAL PERMUTATIONAL GROUP ACTIONS
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