The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$

DOI10.4064/aa221227-25-8OpenAlexW4389559007MaRDI QIDQ6122155

Chip Snyder, Franz Lemmermeyer, Elliot Benjamin

Publication date: 28 February 2024

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

Full work available at URL: https://doi.org/10.4064/aa221227-25-8

zbMATH Keywords

imaginary quadratic field2-class group2-Hilbert class field

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Endliche Gruppen I
• Minimal presentations for groups of order 2ⁿ, n ≤ 6
• Imaginary quadratic fields \(k\) with \(\text{Cl}_ 2(k)\simeq(2,2^ m)\) and rank \(\text{Cl}_ 2(k^ 1)=2\).

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