On the Construction of Relative Genus Fields

DOI10.2307/1998895zbMath0505.12014OpenAlexW4231517363MaRDI QIDQ4740639

Gary Cornell

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998895

zbMATH Keywords

class groupHilbert class fieldgenus field

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23)

Related Items (5)

On class numbers of quadratic extensions of algebraic number fields ⋮ Constructing unramified extensions over quadratic fields ⋮ On a question of Hayes concerning integrality of Brumer elements ⋮ A note on the class group of composita ⋮ Lower bound for the Weil height in a compositum of ray fields

Cites Work

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• A note on class numbers of algebraic number fields
• The genus fields of algebraic number fields
• On the group of units of an absolutely cyclic number field of prime degree
• Some results related to Hilbert's theorem 94
• Relative Genus Theory and the Class Group of l-Extensions
• The Genus Field and Genus Number in Algebraic Number Fields
• The genus field and genus group in finite number fields

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