On the structure of the idele groups of algebraic number fields. II

DOI10.2748/tmj/1178229311zbMath0489.12006OpenAlexW2077361032MaRDI QIDQ1166577

Katsuya Miyake

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229311

zbMATH Keywords

idele groupsabsolute class fieldabsolute ideal class group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Galois theory (11R32) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Class field theory (11R37) Iwasawa theory (11R23) Adèle rings and groups (11R56)

Related Items (3)

A generalization of Hubert’s Theorem 94 ⋮ Extensions of number fields defined by cohomology groups ⋮ The application of the principal ideal theorem to p-groups

Cites Work

• A principal ideal theorem in the genus field
• On a generalization of the principal ideal theorem
• Sur la théorie du corps de classes
• Cohomology in class field theory
• On the structure of the idele group of an algebraic number field

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