Über die Klassenzahlen algebraischer Zahlkörper

DOI10.1017/S0027763000022777zbMath0037.16101MaRDI QIDQ5795560

Sigekatu Kuroda

Publication date: 1950

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

Full work available at URL: https://projecteuclid.org/euclid.nmj/1118764698

zbMATH Keywords

class numbersunit groupsrelative abelian fields

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (32)

Minimal discriminants for fields with small Frobenius groups as Galois groups. ⋮ A multiquadratic field generalization of Artin's conjecture ⋮ On tame kernels and second regulators of number fields and their subfields ⋮ On exceptional \(pq\)-groups ⋮ Class numbers of pure quintic fields ⋮ Über Den Bizyklischen Biquadratischen Zahlkörper ⋮ Triquadratic 3-rational fields ⋮ The 2-class group of certain families of imaginary triquadratic fields ⋮ Norm relations and computational problems in number fields ⋮ Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg's \(p\)-rationality conjecture ⋮ Sur la structure galoisienne du groupe des unites d'un corps abelien réel de type (p,p) ⋮ On the unit index of some real biquadratic number fields ⋮ Class number relations between pure fields and their Galois closures ⋮ On the Absolute Ideal Class Groups of Relatively Meta-Cyclic Number Fields of a Certain Type ⋮ Class number relations from a computational point of view ⋮ A class number relation in Frobenius extensions of number fields ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors ⋮ Fundamental units of certain algebraic number fields ⋮ Über die Einheiten- und Divisorenklassengruppe von reellen Frobeniuskoerpern von Maximaltyp ⋮ Unit groups and Iwasawa lambda invariants of some multiquadratic number fields ⋮ On Iwasawa \(\lambda^{-}\)-invariants of imaginary abelian fields ⋮ Sur la structure galoisienne du groupe des unités d'un corps abélien de type \((p,p)\) ⋮ Об использовании групп классов идеалов квадратичных полей для построения криптографических систем с открытым ключом ⋮ Hasse's class number product formula for generalized Dirichlet fields and other types of number fields ⋮ Remarques sur les unites cyclotomiques et les unites elliptiques ⋮ Relations between permutation representations in positive characteristic ⋮ Pure cubic fields whose class numbers are multiples of three ⋮ Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen bizuadratischen Zahlkörpers ⋮ Kuroda's formula and arithmetic statistics ⋮ A note on \(\ell\)-class groups of certain algebraic number fields ⋮ On the Hasse principle for cubic surfaces ⋮ Higher class numbers in extensions of number fields

Cites Work

• Die gruppentheoretische Struktur der Diskriminanten algebraischer Zahlkörper.

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