Notes on the class field towers of cyclic fields of degree \(\ell\)

DOI10.2748/TMJ/1178229798zbMath0414.12006OpenAlexW1998704946MaRDI QIDQ5893891

Teruo Takeuchi

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229798

zbMATH Keywords

cyclic fieldl-class field towerramified prime

Mathematics Subject Classification ID

Class field theory (11R37) Cyclotomic extensions (11R18)

Related Items (1)

Genus number and l-rank of genus group of cyclic extensions of degree l

Cites Work

• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• The Genus Field and Genus Number in Algebraic Number Fields
• On Class Field Towers and the Rank of Ideal Class Groups
• Unnamed Item

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