Parameterizing solutions to any Galois embedding problem over \(\mathbb{Z}/p^n\mathbb{Z}\) with elementary \(p\)-abelian kernel

DOI10.1016/j.jalgebra.2014.03.041zbMath1328.12008arXiv1109.4071OpenAlexW2036456123MaRDI QIDQ403337

Andrew Schultz

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4071

zbMATH Keywords

Kummer theorygroup extensionsembedding problemsGalois modulesautomatic realizationsrealization multiplicity

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Inverse Galois theory (12F12)

Related Items

Construction of unipotent Galois extensions and Massey products ⋮ On the indecomposability of a remarkable new family of modules appearing in Galois theory ⋮ Enhanced Koszul properties in Galois cohomology ⋮ Galois module structure of square power classes for biquadratic extensions ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ $p$-groups have unbounded realization multiplicity ⋮ Extensions of unipotent groups, Massey products and Galois theory ⋮ Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\)

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