On 2-Sylow Subgroups of Tame Kernels

DOI10.1080/00927870600936641zbMath1168.11050OpenAlexW1978901964MaRDI QIDQ3422861

Qin Yue

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00927870600936641

zbMATH Keywords

\(K\)-theoryquadratic fieldtame kernel8-rank

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) Steinberg groups and (K_2) (19C99)

Related Items (3)

The generalized Rédei-matrix for function fields ⋮ 8-ranks of class groups of quadratic number fields and their densities ⋮ 8-ranks of class groups of some imaginary quadratic number fields

Cites Work

• Relations between \(K_2\) and Galois cohomology
• The 2-Sylow subgroup of \(K_{2} O_{F}\) for number fields \(F\)
• The formula of 8-ranks of tame kernels
• On ideal class groups and units in terms of the quadratic form \(x^2+32y^2\)
• Elements of order 4 of the Hilbert kernel in quadratic number fields
• The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
• The structure of the tame kernels of quadratic number fields (I)
• 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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