The inverse Galois problem for \(p\)-adic fields

DOI10.2140/obs.2019.2.393zbMath1518.12002arXiv1809.10195OpenAlexW2893670668MaRDI QIDQ6165877

David Roe

Publication date: 2 August 2023

Published in: The Open Book Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10195

zbMATH Keywords

inverse Galois theoryprofinite groups\(p\)-adic extensions

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Inverse Galois theory (12F12) Ramification and extension theory (11S15) Limits, profinite groups (20E18) Computational methods for problems pertaining to field theory (12-08)

Cites Work

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• Determination of the number of isomorphism classes of extensions of a \(\mathfrak p\)-adic field
• Enumeration of isomorphism classes of extensions of \(p\)-adic fields.
• A database of local fields
• On the computation of all extensions of a 𝑝-adic field of a given degree
• On Galois Groups of Local Fields
• Metacyclic groups
• On the Number of Galois p-Extensions of a Local Field
• Automorphisms of Finite Abelian Groups
• Profinite Groups

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