Computing the tame kernel of quadratic imaginary fields

DOI10.1090/S0025-5718-00-01182-0zbMath0954.19002OpenAlexW2014299752MaRDI QIDQ4501046

Jerzy Browkin

Publication date: 3 September 2000

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01182-0

zbMATH Keywords

imaginary quadratic fieldstame kernelThue's theorem

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) (K)-theory of global fields (11R70) Symbols, presentations and stability of (K_2) (19C20)

Related Items

On tame and wild kernels of special number fields ⋮ Computing the Tame Kernel of ℚ(ζ₈) ⋮ On the tame kernels of imaginary cyclic quartic fields with class number one ⋮ The tame kernel of imaginary quadratic fields with class number 2 or 3 ⋮ Bounds for computing the tame kernel ⋮ The tame kernel of $\mathbb {Q}(\zeta _{5})$ is trivial ⋮ The shortest vector problem and tame kernels of cyclotomic fields

Cites Work

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• Computation of \(K_ 2\mathbb{Z}[\frac{1+\sqrt{-35}}{2}\)]
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• The imaginary quadratic fields of class number 4
• Tame and wild kernels of quadratic imaginary number fields
• Imaginary quadratic fields with small odd class number
• Class number 5, 6 and 7