The formula of 8-ranks of tame kernels

DOI10.1016/j.jalgebra.2004.10.030zbMath1063.11039OpenAlexW2078374122MaRDI QIDQ1771329

Qin Yue

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.10.030

zbMATH Keywords

class grouptame kernelgenus theoryredei matrices

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Symbols, presentations and stability of (K_2) (19C20)

Related Items (4)

8-ranks of class groups of quadratic number fields and their densities ⋮ 8-ranks of class groups of some imaginary quadratic number fields ⋮ ANOTHER CASE OF A SCHOLZ'S THEOREM ON CLASS GROUPS ⋮ On 2-Sylow Subgroups of Tame Kernels

Cites Work

• The structure of the 2-Sylow-subgroup of \(K_ 2({\mathfrak o})\). I
• Relations between \(K_2\) and Galois cohomology
• On tame kernel and class group in terms of quadratic forms.
• Elements of order 4 of the Hilbert kernel in quadratic number fields
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• Tame kernels under relative quadratic extensions and Hilbert symbols
• The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
• The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
• On the 4-rank of the tame kernel \(K_2(\mathcal O)\) in positive definite terms
• Dyadic ideal, class group, and tame kernel in quadratic fields
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