Principal ideal theorems in the genus field for absolutely abelian extensions

DOI10.1016/0022-314X(77)90045-2zbMath0347.12006MaRDI QIDQ1233892

Hisako Furuya

Publication date: 1977

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

Mathematics Subject Classification ID

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

Related Items (10)

Algebraic number fields ⋮ Idéaux ambiges dans les corps de fonctions. (Ambiguous ideals in function fields) ⋮ Capitulation in the absolutely abelian extensions of some number fields. II ⋮ ON THE STRONGLY AMBIGUOUS CLASSES OF 𝕜/ℚ(i) WHERE $\mathds{k} = {\mathbb Q}(\sqrt{2p_{1}p_{2}, i})$ ⋮ Group Theory and the Capitulation Problem for Some Number Fields ⋮ Visibility of ideal classes ⋮ Pólya fields and Pólya numbers ⋮ Capitulation, ambiguous classes and the cohomology of the units ⋮ About the embedding of a number field in a Pólya field ⋮ On the capitulation in the genus field of an abelian extension of an imaginary quadratic field

Cites Work

• Unnamed Item
• On divisibility by 2 of the relative class numbers of imaginary number fields
• A principal ideal theorem in the genus field
• Zur Geschlechtertheorie in abelschen Zahlkörpern

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