The 4-Rank of the Class Group of Some Real Pure Quartic Number Fields

DOI10.1007/978-3-030-35256-1_12zbMath1445.11128OpenAlexW2996939338MaRDI QIDQ3294668

Mbarek Haynou, Mohammed Taous

Publication date: 29 June 2020

Published in: Associative and Non-Associative Algebras and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35256-1_12

zbMATH Keywords

class groupsambiguous class number formulapure quartic number field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Uses Software

• PARI/GP

Cites Work

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• On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\)
• The generalized Rédei-matrix
• On relative integral bases for pure quartic fields
• On the strongly ambiguous classes of some biquadratic number fields
• A genus theory for quartic fields.
• Pure quartic number fields whose class numbers are even.
• Sur la capitulation des 2-classes d'idéaux de

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