Noether's problem and $\mathbb{Q}$-generic polynomials for the normalizer of the $8$-cycle in $S_8$ and its subgroups

DOI10.1090/S0025-5718-07-02094-7zbMath1183.11069OpenAlexW2015274996MaRDI QIDQ5444323

Ki-ichiro Hashimoto, Akinari Hoshi, Yūichi Rikuna

Publication date: 25 February 2008

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-07-02094-7

zbMATH Keywords

generic polynomialsNoether's problem

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12)

Related Items

Three-dimensional purely quasimonomial actions, Negative solutions to three-dimensional monomial Noether problem, Rationality problem of three-dimensional monomial group actions, ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS, Noether's problem for some meta-abelian groups of small degree, Invariants of wreath products and subgroups of \(S_6\)

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