Units and class numbers of a dihedral Galois extension of \(\mathbb{Q}\)

DOI10.1007/BF02941290zbMath0387.12005OpenAlexW2129569676MaRDI QIDQ1250242

Nicole Moser

Publication date: 1979

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02941290

zbMATH Keywords

class numbersunit groupsdihedral Galois extensionspecial number fields

Mathematics Subject Classification ID

Galois theory (11R32) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29)

Related Items (8)

Algebraic number fields ⋮ On the existence of Minkowski units in totally real cyclic fields ⋮ CLASS NUMBER FORMULA FOR DIHEDRAL EXTENSIONS ⋮ Sur la structure galoisienne du groupe des unites d'un corps abelien réel de type (p,p) ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors ⋮ The group Gal(k3(2)|k) for k = ℚ(−3,d) of type (3,3) ⋮ Algebraic number fields generated by an infinite family of monogenic trinomials ⋮ Minkowski units in a class of metabelian fields

Cites Work

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• Fundamental units of certain algebraic number fields
• Sur l'arithmétique des extensions galoisiennes à groupe de Galois diédral d'ordre \(2p\)
• Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper
• On the group of units of an absolutely cyclic number field of prime degree
• Some results related to Hilbert's theorem 94
• Remarks on principal factors in a relative cubic field
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). II
• Integral Representations of Dihedral Groups of Order 2p
• On the Class Number of a Relatively Cyclic Number Field
• Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers. Herrn Professor Dr. Erhard Schmidt in dankbarer Verehrung zum 75. Geburtstag

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