Fields ℚ(d3,ζ3) whose 3-class group is of type (9,3)

DOI10.1142/S1793042119500817zbMath1479.11185arXiv1805.04963OpenAlexW3100594557MaRDI QIDQ5225069

S. Aouissi, Abdelmalek Azizi, Moulay Chrif Ismaili, Mohammed Talbi

Publication date: 25 July 2019

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

Full work available at URL: https://arxiv.org/abs/1805.04963

zbMATH Keywords

pure cubic fields3-class groupsstructure of groups

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (3)

5-rank of ambiguous class groups of quintic Kummer extensions ⋮ 3-Principalization over S3 -fields ⋮ On a conjecture of Lemmermeyer

Cites Work

• On 3-class groups of cyclic cubic extensions of certain number fields
• The genus fields of algebraic number fields
• On the ramification of Hecke algebras at Eisenstein primes
• 3-rank of ambiguous class groups of cubic Kummer extensions
• A rational genus, class number divisibility, and unit theory for pure cubic fields
• Remarks on principal factors in a relative cubic field
• Pure cubic fields whose class numbers are multiples of three
• On a conjecture of Lemmermeyer
• On 3-class groups of pure cubic fields.
• The generators of $3$-class group of some fields of degree $6$ over $\mathbb{Q}$
• On 3-Class groups of certain pure cubic fields
• Unnamed Item
• Unnamed Item

This page was built for publication: Fields ℚ(d3,ζ3) whose 3-class group is of type (9,3)