Finite group actions on rational function fields

DOI10.1016/0021-8693(92)90009-BzbMath0760.12004MaRDI QIDQ1188275

Mowaffaq Hajja, Ming-chang Kang

Publication date: 13 August 1992

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

zbMATH Keywords

automorphismpurely transcendentalrational function fieldfixed fieldpurely monomialaffine \(K\)-automorphismsfinite group of \(K\)-automorphismstriangular affine \(K\)-automorphisms

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Transcendental field extensions (12F20)

Related Items

Rationality Problem for Algebraic Tori, Rationality problem for transitive subgroups of \(S_8\), A rationality problem of some Cremona transformation, Twisted actions of symmetric groups, Fixed fields of triangular matrix groups, Noether's problem on semidirect product groups, Three-dimensional purely quasimonomial actions, Rationality problems for relation modules of dihedral groups, Rationality of three-dimensional quotients by monomial actions, Rational invariants for subgroups of \(S_5\) and \(S_7\), Noether's problem for the groups with a cyclic subgroup of index 4, Retract rational fields, Negative solutions to three-dimensional monomial Noether problem, Rationality problem of three-dimensional monomial group actions, Noether's problem for groups of order 32, Rationality problem of three-dimensional purely monomial group actions: the last case, Noether's problem for four- and five-dimensional linear actions, Rationality of some projective linear actions, THE RATIONALITY PROBLEM FOR THREE- AND FOUR-DIMENSIONAL PERMUTATIONAL GROUP ACTIONS, Invariants of wreath products and subgroups of \(S_6\), Multiplicative Invariant Fields of Dimension ≤6

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