On a theorem of Koch
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Publication:1358966
DOI10.2140/pjm.1996.176.15zbMath0879.11066OpenAlexW1586013205MaRDI QIDQ1358966
Publication date: 18 January 1998
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1996.176.15
Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)
Related Items (16)
A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower ⋮ Computation of Galois groups associated to the 2-class towers of some imaginary quadratic fields with 2-class group \(C_2 \times C_2\times C_2\) ⋮ On the growth of \(p\)-class groups in \(p\)-class field towers ⋮ Infinite class field towers ⋮ Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2 ⋮ On 2-class field towers of some imaginary quadratic number fields ⋮ On the Galois groups of the 2-class towers of some imaginary quadratic fields ⋮ On the maximal unramified pro-2-extension over the cyclotomic \(\mathbb Z_2\)-extension of an imaginary quadratic field ⋮ Infinite Hilbert class field tower ⋮ On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields ⋮ Some problems on \(p\)-class field towers ⋮ Densities for some real quadratic fields with infinite Hilbert 2-class field towers ⋮ LE 2-RANG DU GROUPE DE CLASSES DE CERTAINS CORPS BIQUADRATIQUES ET APPLICATIONS ⋮ On the quotients of the maximal unramified 2-extension of a number field ⋮ Un raffinement du théorème de Golod-Safarevic ⋮ On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4
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