A classification of the extensions of degree \(p^2\) over \(\mathbb Q_p\) whose normal closure is a \(p\)-extension

DOI10.5802/jtnb.590zbMath1161.11034OpenAlexW2317303779MaRDI QIDQ933195

Luca Caputo

Publication date: 21 July 2008

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10800

zbMATH Keywords

Galois group\(p\)-adic field\(p\)-extension

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15)

Related Items (2)

A characterization of Eisenstein polynomials generating extensions of degree \(p^2\) and cyclic of degree \(p^3\) over an unramified \(\mathfrak p\)-adic field ⋮ ON GALOIS p-ADIC FIELDS OF p-POWER DEGREE

Cites Work

• On 𝑝-extensions
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