On 3-class groups of pure cubic fields.

DOI10.1515/crll.1975.278-279.52zbMath0334.12011OpenAlexW4250646898MaRDI QIDQ4099719

Frank III Gerth

Publication date: 1975

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002191210

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16)

Related Items (17)

5-rank of ambiguous class groups of quintic Kummer extensions ⋮ Principal factors in a pure cubic field and its unramified cyclic cubic 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 ⋮ 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 ⋮ Class groups of dihedral extensions ⋮ 3-Class groups of cubic cyclic function fields ⋮ Rational compositum genus for a pure cubic field ⋮ Fields ℚ(d3,ζ3) whose 3-class group is of type (9,3) ⋮ Class groups of Kummer extensions via cup products in Galois cohomology

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