Norms from quadratic fields and their relation to noncommuting \(2\times 2\) matrices. III: A link between the 4-rank of ideal class groups in \(Q(\sqrt m)\) and in \(Q(\sqrt{-m})\).

DOI10.1007/BF01241822zbMath0336.12002OpenAlexW2084175264MaRDI QIDQ1230075

O. Taussky Todd

Publication date: 1977

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172512

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23) General binary quadratic forms (11E16)

Related Items (3)

Algebraic number fields ⋮ Determinants of Galois automorphisms of maximal commutative rings of \(2\times 2\) matrices ⋮ To the Latimer-Macduffee theorem and beyond!

Cites Work

• Unnamed Item
• Ideal matrices. I
• Zur Struktur der l-Klassengruppe galoisscher Zahlkörper.
• Über die Beziehung der Klassenzahlen quadratischer Körper zueinander.
• The factorization of an integral matrix into a product of two integral symmetric matrices
• The factorization of an integral matrix into a product of two integral symmetric matrices, II. The general case n=2
• The factorization of an integral matrix into a product of two integral symmetric matrices I

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