The extended Bloch groups of biquadratic and dihedral number fields

DOI10.1016/j.jpaa.2018.02.015zbMath1427.11120OpenAlexW2578374742MaRDI QIDQ1651493

Hourong Qin, Xue Jun Guo

Publication date: 12 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.02.015

zbMATH Keywords

Brauer-Kuroda relationBloch groups

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Polylogarithms and relations with (K)-theory (11G55)

Cites Work

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• Rationality problems for \(K\)-theory and Chern-Simons invariants of hyperbolic 3-manifolds
• Bloch invariants of hyperbolic \(3\)-manifolds
• Higher class numbers in extensions of number fields
• The extended Bloch group and algebraic \(K\)-theory
• Norm index formula for the Tate kernels and applications
• The indecomposable $K_3$ of fields
• The indecomposable 𝐾₃ of fields
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
• Tame kernels and second regulators of number fields and their subfields

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