On the class number of a compositum of real quadratic fields: an approach via circular units

DOI10.7169/FACM/1229696569zbMath1225.11141OpenAlexW2052250336MaRDI QIDQ1038634

Radan Kučera

Publication date: 18 November 2009

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1229696569

zbMATH Keywords

class numbercompositum of real quadratic fieldsgroup of circular units

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (1)

On the compositum of orthogonal cyclic fields of the same odd prime degree

Cites Work

• On the Stickelberger ideal and the circular units of an abelian field
• On the parity of the class number of the field \(\mathbb Q(\sqrt p,\sqrt q,\sqrt r)\)
• On the parity of the class number of a biquadratic field
• On the Stickelberger ideal and circular units of a compositum of quadratic fields

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