Galois 2-extensions unramified outside 2

DOI10.1016/j.jnt.2006.08.006zbMath1126.11063OpenAlexW1969983760MaRDI QIDQ877921

John Jossey

Publication date: 4 May 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.08.006

zbMATH Keywords

conductorGalois groupclass numbergenus fieldDirichlet characterprofinite groupfree pro-\(p\) productvirtually free pro-\(p\) group

Mathematics Subject Classification ID

Galois theory (11R32) Class numbers, class groups, discriminants (11R29)

Related Items (2)

Faltings-Serre method on three dimensional selfdual representations ⋮ Note on 2-rational fields

Cites Work

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• On Demuskin groups with involution
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
• On the maximal abelianℓ-extension of a finite algebraic number field with given ramification
• p-Extensions of free pro-p groups
• On virtually projective groups
• The Genus Field and Genus Number in Algebraic Number Fields

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