Noether's problem for dihedral 2-groups. II

DOI10.2140/pjm.2005.222.301zbMath1100.12003OpenAlexW3021357484MaRDI QIDQ2497100

Ming-chang Kang

Publication date: 1 August 2006

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2005.222.301

zbMATH Keywords

inverse Galois theoryNoether's problemrationalitygroups of order 16

Mathematics Subject Classification ID

Galois theory (11R32) Actions of groups on commutative rings; invariant theory (13A50) Inverse Galois theory (12F12) Rationality questions in algebraic geometry (14E08)

Related Items (11)

Rationality problem for transitive subgroups of \(S_8\) ⋮ Noether's problem for \(p\)-groups with a cyclic subgroup of index \(p^{2}\) ⋮ Some cases of four dimensional linear Noether's problem ⋮ Birational classification of fields of invariants for groups of order 128 ⋮ Rational invariants for subgroups of \(S_5\) and \(S_7\) ⋮ Noether's problem for the groups with a cyclic subgroup of index 4 ⋮ Noether's problem for groups of order 32 ⋮ Noether's problem for metacyclic \(p\)-groups ⋮ 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 ⋮ Invariants of wreath products and subgroups of \(S_6\)

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