Remark on infinite unramified extensions of number fields with class number one

DOI10.1016/j.jnt.2009.08.013zbMath1215.11123OpenAlexW1976252294MaRDI QIDQ1048930

David Brink

Publication date: 8 January 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.08.013

zbMATH Keywords

biquadratic number fieldsnon-solvable unramified extensions

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (1)

Quadratic number fields with unramified \(\mathrm{SL}_2(5)\)-extensions

Cites Work

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• On unramified Galois extensions of real quadratic number fields
• Tours de corps de classes et estimations de discriminants
• On infinite unramified extensions.
• Algebraic number fields with the discriminant equal to that of a quadratic number field
• Die Zerlegungs- und Trägheitsgruppe als Permutationsgruppen
• The imaginary bicyclic biquadratic fields with class-number 1.
• Maximal unramified extensions of imaginary quadratic number fields of small conductors

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