On the \(p\)-rank of tame kernel of number fields

DOI10.1016/j.jnt.2015.06.009zbMath1333.11109OpenAlexW2193361031MaRDI QIDQ495290

Kejian Xu, Chaochao Sun

Publication date: 9 September 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.009

zbMATH Keywords

tame kernel\(p\)-rankideal class groupnumber fieldcyclic quartic field

Mathematics Subject Classification ID

(K)-theory of global fields (11R70)

Related Items (3)

On the tame kernels of imaginary cyclic quartic fields with class number one ⋮ On the structure of even $K$-groups of rings of algebraic integers ⋮ Tame kernels of cubic and sextic fields

Cites Work

• 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
• The integers of a cyclic quartic field
• \(K_ 2\) of rings of algebraic integers
• Relations between \(K_2\) and Galois cohomology
• Reflection theorems and the \(p\)-Sylow subgroup of \(K_{2}O_F\) for a number field \(F\)
• On \(K_2\) and some classical conjectures in algebraic number theory
• The Tame Kernel of Multiquadratic Number Fields
• Calculation of the Class Numbers of Imaginary Cyclic Quartic Fields
• On the p-rank of the tame kernel of algebraic number fields.
• Tame and wild kernels of quadratic imaginary number fields
• Tame kernels of cubic cyclic fields
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