Geometric generalization of Gaussian period relations with application in Noether's problem for meta-cyclic groups

DOI10.3836/tjm/1244208276zbMath1081.12002OpenAlexW2077149353MaRDI QIDQ2566539

Akinari Hoshi, Ki-ichiro Hashimoto

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.3836/tjm/1244208276

zbMATH Keywords

Noether's problemmetacyclic groups

Mathematics Subject Classification ID

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

Related Items

Explicit lifts of quintic Jacobi sums and period polynomials for \(\mathbb F_q\), ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS, Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations, Noether's problem and $\mathbb{Q}$-generic polynomials for the normalizer of the $8$-cycle in $S_8$ and its subgroups, Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods, Noether's problem for some meta-abelian groups of small degree

Uses Software

• Maple
• Mathematica

Cites Work

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