Tame kernels of cubic and sextic fields

DOI10.1016/j.jnt.2018.01.020zbMath1442.11157OpenAlexW2794436381MaRDI QIDQ1753827

Xianqiang Yang

Publication date: 29 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.01.020

zbMATH Keywords

class groupscubic fieldstame kernelssextic fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) (K)-theory of global fields (11R70) Symbols and arithmetic ((K)-theoretic aspects) (19F15) Other abelian and metabelian extensions (11R20)

Related Items (1)

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

Cites Work

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• On the \(p\)-rank of tame kernel of number fields
• 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
• 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 \(F\)
• Tame kernels of cubic cyclic fields
• Tame kernels of quintic cyclic fields
• On the p-rank of the tame kernel of algebraic 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)
• Class-number problems for cubic number fields
• The 4-rank of $K₂O_F$ for real quadratic fields F

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