Capitulation in unramified quadratic extensions of real quadratic number fields

DOI10.1017/S0017089500031001zbMath0820.11068MaRDI QIDQ4313578

F. Sanborn, Chip Snyder, Elliot Benjamin

Publication date: 14 September 1995

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

real quadratic fieldcapitulationideal class groupunramified quadratic extension

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (7)

On the 2-class field tower of some imaginary biquadratic number fields ⋮ On 2-class field towers of some imaginary quadratic number fields ⋮ On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\) ⋮ On the 2-class field tower of \(\mathbb Q (\sqrt{2p_1p_2},i)\) and the Galois group of its second Hilbert 2-class field ⋮ Real quadratic fields with abelian 2-class field tower ⋮ 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 ⋮ Čech cohomology and the capitulation kernel

Cites Work

• A note on a recent paper of Iwasawa on the capitulation problem
• A note on capitulation problem for number fields. I, II
• Über Den Bizyklischen Biquadratischen Zahlkörper
• A generalization of a result of Iwasawa on the capitulation problem
• Some Density Results for Negative Pell Equations; an Application of Graph Theory
• Two Theorems on Galois Cohomology

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