Quadratic extensions with elementary abelian \(K_ 2(O)\)

DOI10.1016/0021-8693(91)90314-XzbMath0749.11051OpenAlexW1989981337MaRDI QIDQ1178925

Ruth I. Berger

Publication date: 26 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90314-x

zbMATH Keywords

quadratic extensiontotally real number fieldsMilnor K-group2-primary subgroupS-ideal class group

Mathematics Subject Classification ID

Quadratic extensions (11R11) (K)-theory of global fields (11R70) Higher symbols, Milnor (K)-theory (19D45)

Related Items (1)

Hasse's class number product formula for generalized Dirichlet fields and other types of number fields

Cites Work

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• Addendum: ``Quadratic extensions of number fields with elementary abelian 2-prime \(K_2(O_F)\) of smallest rank
• On regular number fields
• Remarks on \(K_ 2\) of number fields
• The structure of the 2-Sylow-subgroup of \(K_ 2({\mathfrak o})\). I
• Relations between \(K_2\) and Galois cohomology
• A finiteness theorem for K\(_2\) of a number field
• The 2-Sylow-Subgroup of the Tame Kernel of Number Fields
• The 4-Rank of K₂(0)

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