On the units of unramified cyclic cubic extensions of some subfields of \(\mathbb Q\left(\sqrt d,\sqrt{-3}\right)\)

DOI10.5802/ambp.254zbMath1187.11040OpenAlexW2296369589MaRDI QIDQ1017365

Mohammed Talbi, Moulay Chrif Ismaili, Abdelmalek Azizi, Mohamed Ali Ayadi

Publication date: 18 May 2009

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2009__16_1_71_0

zbMATH Keywords

unit3-number classquartic and biquadratic fields

Mathematics Subject Classification ID

Units and factorization (11R27) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (1)

The group Gal(k3(2)|k) for k = ℚ(−3,d) of type (3,3)

Cites Work

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• Parametrization of the quadratic fields whose class numbers are divisible by three
• Class groups of dihedral extensions
• Ranks of 3-class groups of non-Galois cubic fields
• On the 3-class field tower of some biquadratic fields

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