On capitulation of ideals of an algebraic number field

DOI10.3792/pjaa.60.232zbMath0547.12010OpenAlexW2092358188MaRDI QIDQ798712

Katsuya Miyake

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.232

zbMATH Keywords

genus fieldclass field theorycapitulation of idealsunramified abelian extension

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Ramification and extension theory (11S15)

Related Items (1)

A family of finite nilpotent groups

Cites Work

• The application of the principal ideal theorem to p-groups
• A Contribution to the Theory of Groups of Prime-Power Order
• The Genus Field and Genus Number in Algebraic Number Fields
• Endliche Gruppen I

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