On Orders of Tame Kernels in Quaternion Extension of Number Fields

DOI10.1007/978-981-13-6664-2_8zbMath1496.11135OpenAlexW2946715130MaRDI QIDQ5038257

Haiyan Zhou

Publication date: 30 September 2022

Published in: Mathematical Lectures from Peking University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-13-6664-2_8

zbMATH Keywords

quaternion grouptransfer maptame kernels

Mathematics Subject Classification ID

(K)-theory of global fields (11R70) Other abelian and metabelian extensions (11R20)

Cites Work

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• On the 3-rank of tame kernels of certain pure cubic number fields
• The 3-Sylow subgroup of the tame kernel of real number fields
• On the structure of the \(K_ 2\) of the ring of integers in a number field
• Groupes de Chow et K-théorie de variétés sur un corps fini
• The 2-Sylow subgroup of \(K_{2} O_{F}\) for number fields \(F\)
• Galois descent and \(K_ 2\) of number fields
• On \(K_2\) and some classical conjectures in algebraic number theory
• A finiteness theorem for K\(_2\) of a number field
• Index formulae for integral Galois modules
• Tame kernels of cubic cyclic fields
• Tame kernels of quintic cyclic fields
• The Tame Kernel of Multiquadratic Number Fields
• Tame kernels of cubic cyclic fields
• The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
• The structure of the tame kernels of quadratic number fields (I)
• The 4-rank of $K₂O_F$ for real quadratic fields F
• Tame Kernels of Quaternion Number Fields

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