Reflection Theorems and the Tame Kernel of a Number Field

DOI10.1080/00927872.2013.772188zbMath1288.11105OpenAlexW2015124723MaRDI QIDQ5417945

Xia Wu, Zhengjun Zhao

Publication date: 23 May 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.772188

zbMATH Keywords

tame kernelideal class groupnumber field

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) (K)-theory of global fields (11R70) Steinberg groups and (K_2) (19C99)

Related Items (1)

On the structure of even $K$-groups of rings of algebraic integers

Cites Work

• Tame kernels of pure cubic fields
• On the structure of the \(K_ 2\) of the ring of integers in a number field
• Relations between \(K_2\) and Galois cohomology
• The 2-Sylow subgroup of \(K_{2} O_{F}\) for number fields \(F\)
• Reflection theorems and the \(p\)-Sylow subgroup of \(K_{2}O_F\) for a number field \(F\)
• The 3-adic regulators and wild kernels
• Tame kernels of cubic cyclic fields
• Tame kernels of quintic cyclic fields
• The Tame Kernel of Multiquadratic Number Fields
• Tame and wild kernels of quadratic imaginary number fields
• The structure of the tame kernels of quadratic number fields (I)
• The 3-ranks of tame kernels of cubic cyclic number fields

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