Publication:4818189

zbMath1061.12005MaRDI QIDQ4818189

Ming-chang Kang

Publication date: 22 September 2004

zbMATH Keywords

generic polynomialrationalitygeneric Galois extensionNoether's Problem

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)

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Some group actions on \(K(x_1,x_2,x_3)\), Noether's problem and $\mathbb{Q}$-generic polynomials for the normalizer of the $8$-cycle in $S_8$ and its subgroups