Octahedral extensions with a given cubic subfield

DOI10.1016/j.jnt.2016.03.004zbMath1415.11154OpenAlexW2343968035MaRDI QIDQ290028

Kevin Childers, Darrin Doud

Publication date: 1 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.03.004

zbMATH Keywords

octahedral extensions

Mathematics Subject Classification ID

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

Cites Work

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• Arithmetic of octahedral sextics
• Proof of a conjecture of Wong concerning octahedral Galois representations of prime power conductor
• Dirichlet series associated to quartic fields with given cubic resolvent
• The number of S₄-fields with given discriminant
• Classical invariants and 2-descent on elliptic curves

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