GALOIS MODULE STRUCTURE OF pTH-POWER CLASSES OF CYCLIC EXTENSIONS OF DEGREE pn

DOI10.1112/S0024611505015479zbMath1157.12002arXivmath/0409532OpenAlexW2135245107MaRDI QIDQ3377415

Mináč, Ján, Andrew Schultz, John R. Swallow

Publication date: 22 March 2006

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409532

zbMATH Keywords

normcyclic extensionHilbert 90Galois module\(p\)th-power classes

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (9)

Induced orthogonal representations of Galois groups ⋮ On the indecomposability of a remarkable new family of modules appearing in Galois theory ⋮ Galois module structure of square power classes for biquadratic extensions ⋮ Parameterizing solutions to any Galois embedding problem over \(\mathbb{Z}/p^n\mathbb{Z}\) with elementary \(p\)-abelian kernel ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ The Sylow subgroups of the absolute Galois group \(\mathrm{Gal}(\mathbb{Q})\) ⋮ $p$-groups have unbounded realization multiplicity ⋮ Automatic realization of Galois groups with cyclic quotient of order \(p^n\) ⋮ Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\)

This page was built for publication: GALOIS MODULE STRUCTURE OF pTH-POWER CLASSES OF CYCLIC EXTENSIONS OF DEGREE pⁿ