The tame kernel of $\mathbb {Q}(\zeta _{5})$ is trivial

DOI10.1090/mcom/3003zbMath1353.19002OpenAlexW1737227379MaRDI QIDQ2792375

Kejian Xu, Long Zhang

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.1090/mcom/3003

zbMATH Keywords

cyclotomic fieldtame kernel\(K_2\)

Mathematics Subject Classification ID

Symbols and arithmetic ((K)-theoretic aspects) (19F15) Steinberg groups and (K_2) (19C99)

Related Items (3)

On the tame kernels of imaginary cyclic quartic fields with class number one ⋮ On the structure of \(K_2(\mathbb{Z}[C_2 \times C_2)\)] ⋮ The shortest vector problem and tame kernels of cyclotomic fields

Cites Work

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• Algebraic K-theory II. Classical algebraic K-theory, and connections with arithmetic. Proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Institute, from August 28 to September 8, 1972
• Tame and wild kernels of quadratic imaginary number fields
• Computing the tame kernel of quadratic imaginary fields
• Computing the Tame Kernel of ℚ(ζ₈)

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