ON GALOIS p-ADIC FIELDS OF p-POWER DEGREE

DOI10.17654/NT041020275zbMath1426.11130MaRDI QIDQ5204732

Christian Reese, Janaé Williams, Peter Komlofske, Chad Awtrey

Publication date: 5 December 2019

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Galois\(p\)-adiccyclicEisensteintotally ramified

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois theory (11S20) Ramification and extension theory (11S15) Subgroups of symmetric groups (20B35)

Related Items

EISENSTEIN POLYNOMIALS DEFINING CYCLIC p-ADIC FIELDS WITH MINIMAL WILD RAMIFICATION

Cites Work

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• Degree 12 2-adic fields with automorphism group of order 4
• Determination of the number of isomorphism classes of extensions of a \(\mathfrak p\)-adic field
• Octic 2-adic fields
• A classification of the extensions of degree \(p^2\) over \(\mathbb Q_p\) whose normal closure is a \(p\)-extension
• On the construction of normal wildly ramified extensions over \(\mathbb Q_p\), \((p\neq 2)\)
• Eisenstein polynomials defining Galois dihedral \(p\)-adic fields of degree \(2p\)
• Degree \(14\) \(2\)-adic fields
• A characterization of Eisenstein polynomials generating extensions of degree \(p^2\) and cyclic of degree \(p^3\) over an unramified \(\mathfrak p\)-adic field
• A database of local fields
• DODECIC 3-ADIC FIELDS
• GALOIS GROUPS OF DEGREE 12 2-ADIC FIELDS WITH TRIVIAL AUTOMORPHISM GROUP
• A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields
• Enumerating extensions of (π)-adic fields with given invariants
• Algorithmic Number Theory
• Introduction to mathematics. Background of school mathematics