Noether's problem for metacyclic \(p\)-groups

DOI10.1016/j.aim.2005.05.004zbMath1121.12005OpenAlexW2087271783MaRDI QIDQ2497331

Ming-chang Kang

Publication date: 4 August 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2005.05.004

zbMATH Keywords

Noether's problemrationalityintegral group ringmonomial automorphismmetacyclic \(p\)-groupmultiplicative group action

Mathematics Subject Classification ID

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)

Related Items

Noether’s Problem for Some p-Groups, Bogomolov multipliers for some \(p\)-groups of nilpotency class 2, Noether's Problem for p-Groups with an Abelian Subgroup of Index p, Noether's problem for some semidirect products, Noether's problem for \(p\)-groups with a cyclic subgroup of index \(p^{2}\), Noether's problem for the groups with a cyclic subgroup of index 4, Frobenius groups and retract rationality, Noether's problem for groups of order 32, Chow's theorem for semi-abelian varieties and bounds for splitting fields of algebraic tori, Rationality problem for some meta-abelian groups

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