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

DOI10.1006/jnth.1998.2361zbMath0929.11047OpenAlexW1977252911MaRDI QIDQ1293164

Elliot Benjamin, Charles J. Parry

Publication date: 25 January 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2361

zbMATH Keywords

class field towerclass number formulagenus theory2-class group

Mathematics Subject Classification ID

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

Related Items (1)

Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\).

Cites Work

• A note on the group of units of an algebraic number field
• On determining the 4-rank of the ideal class group of a quadratic field
• Real quadratic fields with abelian 2-class field tower
• On 2-class field towers of imaginary quadratic number fields
• Imaginary Abelian number fields with class number one
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Comparaison des $2$-groupes des classes d'idéaux au sens large et au sens étroit d'un corps quadratique réel
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• Kuroda's class number formula
• Capitulation in unramified quadratic extensions of real quadratic number fields
• Class Numbers of Real Quadratic Number Fields
• Ideal class groups of cyclotomic number fields I
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