On the cyclicity of the 2-class group of the fields $\mathbb{Q}(i,\sqrt{p_1},\dots,\sqrt{p_n})$

DOI10.4064/aa190618-16-12zbMath1462.11102OpenAlexW3034957121MaRDI QIDQ5146460

Ali Mouhib, Ahmed Dakkak, Said Essahel

Publication date: 25 January 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa190618-16-12

zbMATH Keywords

class groupFrohlich's formulanarrow clas group

Mathematics Subject Classification ID

Quadratic extensions (11R11) Other number fields (11R21) Class numbers, class groups, discriminants (11R29)

Uses Software

• PARI/GP

Cites Work

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• On the parity of the class number of multiquadratic number fields
• Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\)
• Imaginary bicyclic biquadratic fields with cyclic 2-class group
• Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
• On knots in algebraic number theory.
• Galois module structure of units in real biquadratic number fields
• Real quadratic number fields with metacyclic Hilbert $2$-class field tower

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