Reduction theorems for Noether’s problem
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Publication:3629404
DOI10.1090/S0002-9939-09-09608-7zbMath1177.12006arXiv0709.1297OpenAlexW2008939388MaRDI QIDQ3629404
Publication date: 27 May 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.1297
Galois theory (11R32) Actions of groups on commutative rings; invariant theory (13A50) Inverse Galois theory (12F12) Transcendental field extensions (12F20) Rationality questions in algebraic geometry (14E08)
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On Noether's problem for central extensions of symmetric and alternating groups, 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 \(p^{2}\), 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, Frobenius groups and retract rationality, Noether's problem for some subgroups of \(S_{14}\): the modular case, Noether's problem for groups of order 32, Invariants of wreath products and subgroups of \(S_6\), On Noether's problem for cyclic groups of prime order, Multiplicative Invariant Fields of Dimension ≤6
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