On nilpotent factors of congruent ideal class groups of Galois extensions

DOI10.1017/S0027763000024727zbMath0336.12006OpenAlexW1511572480MaRDI QIDQ4104044

Yoshiomi Furuta

Publication date: 1976

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000024727

Mathematics Subject Classification ID

Class field theory (11R37)

Related Items (4)

Central extensions and Schur’s multiplicators of Galois groups ⋮ Algebraic number fields ⋮ Note on class number factors and prime decompositions ⋮ A prime decomposition symbol for a non-abelian central extension which is abelian over a bicyclic biquadratic field

Cites Work

• Über die Klassenzahl des Körpers \(\text{P}\left(\sqrt{-p}\right)\) mit einer Primzahl \(p\equiv1\pmod{2^ 3}\)
• Über die zentrale Klassenzahl eines relativ-Galoisschen Zahlkörpers
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). II
• The Genus Field and Genus Number in Algebraic Number Fields
• The genus field and genus group in finite number fields
• Über die Teilbarkeit durch 2³ der Klassenzahl der quadratischen Zahlkörper mit genau zwei verschiedenen Diskriminantenprimteilern
• On Class Field Towers and the Rank of Ideal Class Groups

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