The generators of $3$-class group of some fields of degree $6$ over $\mathbb{Q}$

zbMath1474.11185arXiv1804.00692MaRDI QIDQ4986453

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

Publication date: 27 April 2021

Full work available at URL: https://arxiv.org/abs/1804.00692

zbMATH Keywords

generatorspure cubic fields3-class 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 (2)

3-Principalization over S3 -fields ⋮ Fields ℚ(d3,ζ3) whose 3-class group is of type (9,3)

Cites Work

• On 3-class groups of cyclic cubic extensions of certain number fields
• On the ramification of Hecke algebras at Eisenstein primes
• Remarks on principal factors in a relative cubic field
• On 3-class groups of pure cubic fields.
• On 3-Class groups of certain pure cubic fields
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