On 3-class groups of cyclic cubic extensions of certain number fields

DOI10.1016/0022-314X(76)90024-XzbMath0329.12006MaRDI QIDQ1227027

Frank III Gerth

Publication date: 1976

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

zbMATH Keywords

cyclic cubic extension3-class groups

Mathematics Subject Classification ID

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

Related Items (16)

Elliptic units and genus theory ⋮ 5-rank of ambiguous class groups of quintic Kummer extensions ⋮ Algebraic number fields ⋮ l-Class groups of cyclic extensions of prime degree l ⋮ The generators of $3$-class group of some fields of degree $6$ over $\mathbb{Q}$ ⋮ PRINCIPAL FACTORS AND LATTICE MINIMA IN CUBIC FIELDS ⋮ 3-Principalization over S3 -fields ⋮ Structure of relative genus fields of cubic Kummer extensions ⋮ On the 3-rank of tame kernels of certain pure cubic number fields ⋮ A unit relationship for pure sextic fields ⋮ 3-rank of ambiguous class groups of cubic Kummer extensions ⋮ The densities for 3-ranks of tame kernels of cyclic cubic number fields ⋮ On a conjecture of Lemmermeyer ⋮ Corrigendum to: ``Minimal generators of the ideal class group ⋮ 3-Class groups of cubic cyclic function fields ⋮ Fields ℚ(d3,ζ3) whose 3-class group is of type (9,3)

Cites Work

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• A Class of Negative-Definite Functions
• On cubic Galois extensions of $Q\left( {\sqrt { - 3} } \right)$

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