Generic polynomials over \(\mathbb Q\) with two parameters for the transitive groups of degree five.

DOI10.3792/pjaa.79.142zbMath1047.12002OpenAlexW1977970853MaRDI QIDQ595962

Ki-ichiro Hashimoto, Hiroshi Tsunogai

Publication date: 6 August 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.79.142

zbMATH Keywords

generic polynomialsGalois theory

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Actions of groups on commutative rings; invariant theory (13A50) Inverse Galois theory (12F12)

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Galois realizations with inertia groups of order two ⋮ A note on embeddings of \(S^4\) and \(A_5\) into the two-dimensional Cremona group and versal Galois covers ⋮ ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS ⋮ General form of Humbert's modular equation for curves with real multiplication of \(\Delta =5\) ⋮ Noether's problem and $\mathbb{Q}$-generic polynomials for the normalizer of the $8$-cycle in $S_8$ and its subgroups ⋮ Generic polynomials for transitive subgroups of the group S 4 over fields of characteristic 2 ⋮ QUINTIC POLYNOMIALS OF HASHIMOTO–TSUNOGAI, BRUMER AND KUMMER ⋮ Invariants of wreath products and subgroups of \(S_6\)

Cites Work

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• The average rank of elliptic curves. I. (With an appendix by Oisín McGuinness: The explicit formula for elliptic curves over function fields)
• Constructions de polynômes génériques à groupe de Galois résoluble
• On Brumer's family of RM-curves of genus two