Comparaison des $2$-groupes des classes d'idéaux au sens large et au sens étroit d'un corps quadratique réel

DOI10.3792/pja/1195518789zbMath0337.12002OpenAlexW2025709763MaRDI QIDQ4103619

Pierre Kaplan

Publication date: 1974

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518789

Mathematics Subject Classification ID

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

Related Items (4)

Algebraic number fields ⋮ On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\) ⋮ An elementary proof of Gauss' genus theorem ⋮ Refined lower bounds on the 2-class number of the Hilbert 2-class field of imaginary quadratic number fields with elementary 2-class group of rank 3

Cites Work

• Divisibility by 8 of the class number of quadratic fields whose 2-class group is cyclic, and biquadratic reciprocity
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
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