On the 3-rank of tame kernels of certain pure cubic number fields

DOI10.1007/s11425-010-4088-2zbMath1266.11120OpenAlexW2034370396MaRDI QIDQ625866

Hourong Qin, Yuan-Yuan Li

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4088-2

zbMATH Keywords

densitypure cubic fields3-rank of the tame kernels

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) (K)-theory of global fields (11R70) Symbols and arithmetic ((K)-theoretic aspects) (19F15)

Related Items (5)

On Orders of Tame Kernels in Quaternion Extension of Number Fields ⋮ The densities for 3-ranks of tame kernels of cyclic cubic number fields ⋮ Tame Kernels of Quaternion Number Fields ⋮ Tame kernels of cubic and sextic fields ⋮ 3-Class groups of cubic cyclic function fields

Cites Work

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• Tame kernels of pure cubic fields
• Application of a character sum estimate to a 2-class number density
• 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
• On 3-class groups of cyclic cubic extensions of certain number fields
• 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
• On \(K_2\) and some classical conjectures in algebraic number theory
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• On the p-rank of the tame kernel of algebraic number fields.
• On 3-class groups of pure cubic 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
• The 3-ranks of tame kernels of cubic cyclic number fields
• On 3-Class groups of certain pure cubic fields

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