A note on \(\ell\)-class groups of certain algebraic number fields

DOI10.1016/0022-314X(84)90098-2zbMath0548.12007MaRDI QIDQ799731

Norikata Nakagoshi

Publication date: 1984

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

zbMATH Keywords

class number relationabelian extensiondihedral extension\(\ell\)-class groups

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (1)

Explicit deformation of Galois representations

Cites Work

• Group-theoretic constraints on the structure of the class group
• Class number formulae for bicubic fields
• On the \(p\)-class groups of a Galois number field and its subfields
• Arithmetische Theorie der Normalkörper von 2-Potenzgrad mit Diedergruppe. (Arithmetic theory of normal fields of 2-power degree with dihedral group)
• Einheiten und Divisorenklassen in Galois'schen algebraischen Zahlkörpern mit Diedergruppe der Ordnung 2l für eine ungerade Primzahl l
• Über Den Bizyklischen Biquadratischen Zahlkörper
• On Abelian Varieties with Complex Multiplication
• Pure quartic number fields whose class numbers are even.
• Brauer's class number relation
• Kuroda's class number relation
• The Classification of Ideal Numbers in a Cubic Field
• Über die Klassenzahlen algebraischer Zahlkörper
• Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers. Herrn Professor Dr. Erhard Schmidt in dankbarer Verehrung zum 75. Geburtstag
• ON THE CLASS GROUP OF RELATIVELY ABELIAN FIELDS

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