Computing the Tame Kernel of ℚ(ζ8)

DOI10.1081/AGB-120017338zbMath1021.19002MaRDI QIDQ4801389

Hourong Qin, Guangtian Song, Xue Jun Guo

Publication date: 7 April 2003

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

zbMATH Keywords

tame kernel\(K_2\)-group

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) (K)-theory of global fields (11R70) Symbols, presentations and stability of (K_2) (19C20) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (4)

On the tame kernels of imaginary cyclic quartic fields with class number one ⋮ The tame kernel of $\mathbb {Q}(\zeta _{5})$ is trivial ⋮ The shortest vector problem and tame kernels of cyclotomic fields ⋮ The Tame Kernel of Multiquadratic Number Fields

Cites Work

• Generalization of Thue's theorem and computation of the group \(K_ 2 O_ F\)
• Computation of \(K_ 2\mathbb{Z}[\sqrt {-6}\)]
• Tame and wild kernels of quadratic imaginary number fields
• Computing the tame kernel of quadratic imaginary fields

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