On Hilbert class field tower for some quartic number fields

DOI10.1016/j.ajmsc.2019.05.005zbMath1488.11170OpenAlexW2945732771MaRDI QIDQ5009841

Mohammed Talbi, Abdelmalek Azizi, Mohammed Talbi

Publication date: 6 August 2021

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2019.05.005

zbMATH Keywords

class groupHilbert class fieldcyclic quartic field

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Cites Work

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• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• The genus fields of algebraic number fields
• The 2-class group of biquadratic fields. II
• Imaginary bicyclic biquadratic fields with cyclic 2-class group
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• Kuroda's class number formula

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