Dyadic ideal, class group, and tame kernel in quadratic fields

DOI10.1016/S0022-4049(00)00179-1zbMath1113.11305OpenAlexW2056548592WikidataQ127190877 ScholiaQ127190877MaRDI QIDQ5956879

Qin Yue

Publication date: 28 February 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00179-1

zbMATH Keywords

2-Sylow subgroup of \(K_2O_F\)

Mathematics Subject Classification ID

Computations of higher (K)-theory of rings (19D50) (K)-theory of global fields (11R70) Class groups and Picard groups of orders (11R65)

Related Items (4)

The formula of 8-ranks of tame kernels ⋮ Tame kernels for biquadratic number fields ⋮ On 2-Sylow Subgroups of Tame Kernels ⋮ On tame kernel and class group in terms of quadratic forms.

Cites Work

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• Relations between \(K_2\) and Galois cohomology
• Elements of order 4 of the Hilbert kernel in quadratic number fields
• The 2-Sylow-Subgroup of the Tame Kernel of Number Fields
• On the 2-Sylow subgroup of the Hilbert kernel of $K_{2}$ of number fields
• The 4-Rank of K₂(0)
• 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
• The 4-rank of $K₂O_F$ for real quadratic fields F
• On elementary abelian 2-Sylow K₂ of rings of integers of certain quadratic number fields
• Introduction to Algebraic K-Theory. (AM-72)

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