Maximal 2-extensions with restricted ramification

DOI10.1006/jabr.2000.8411zbMath0985.11055OpenAlexW2068174557MaRDI QIDQ5925816

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Publication date: 3 May 2001

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

Full work available at URL: https://semanticscholar.org/paper/641372827aff7c3cc9d781905a14d44eb9f99b5e

zbMATH Keywords

\(2\)-extensionsGalois groupsmaximal \(p\)-extensionrestricted ramificationunramified extensions outside \(S\)

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10)

Related Items

On the \(T\)-ramified, \(S\)-split \(p\)-class field towers over an extension of degree prime to \(p\), A database of number fields, Explicit computation of Galois \(p\)-groups unramified at \(p\), Unramified subextensions of ray class towers

Cites Work

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• Some cases of the Fontaine-Mazur conjecture. II
• An example of an infinite tamely ramified Hilbert tower
• Integral bases for quartic fields with quadratic subfields
• The \(p\)-group generation algorithm
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
• On the maximal unramified p-extension of an algebraic number field.