Group-theoretic constraints on the structure of the class group

DOI10.1016/0022-314X(81)90026-3zbMath0456.12005MaRDI QIDQ1150404

Gary Cornell, Michael I. Rosen

Publication date: 1981

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

zbMATH Keywords

class numberGalois extension of number fieldsstructure of class group2-class group of cyclotomic fieldscyclic cubic number fields

Mathematics Subject Classification ID

Galois theory (11R32) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (12)

On \(p\)-class group of an \(A_n\)-extension ⋮ On the Galois module structure of ideal class groups ⋮ Exponents of the class groups of imaginary Abelian number fields ⋮ On tame kernels and second regulators of number fields and their subfields ⋮ Galois action on class groups ⋮ Some results on the capitulation problem ⋮ On the history of the study of ideal class groups ⋮ On the Ideal Class Groups of Imaginary Abelian Fields with Small Conductor ⋮ The Tame Kernel of Multiquadratic Number Fields ⋮ Cyclotomic integers of prescribed absolute value and the class group ⋮ A note on \(\ell\)-class groups of certain algebraic number fields ⋮ Iwasawa invariants of imaginary quadratic fields

Cites Work

• A note on class numbers of algebraic number fields
• Méthodes et algorithmes pour le calcul numérique du nombre de classes et de unités des extensions cubiques cycliques de Q.
• ON THE CLASS GROUP OF RELATIVELY ABELIAN FIELDS
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