The 2-Sylow subgroup of \(K_{2} O_{F}\) for number fields \(F\)

DOI10.1016/j.jalgebra.2004.10.024zbMath1147.11343OpenAlexW2146423804MaRDI QIDQ1770445

Hourong Qin

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.10.024

Mathematics Subject Classification ID

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

Related Items (15)

On Orders of Tame Kernels in Quaternion Extension of Number Fields ⋮ On the 2-primary part of tame kernels of real quadratic fields ⋮ The extended Bloch groups of biquadratic and dihedral number fields ⋮ Congruent numbers, quadratic forms and \(K_2\) ⋮ The 3-Sylow subgroup of the tame kernel of real number fields ⋮ On the 3-rank of tame kernels of certain pure cubic number fields ⋮ The densities for 3-ranks of tame kernels of cyclic cubic number fields ⋮ Tame kernels of non-abelian Galois extensions of number fields of degree \(q^3\) ⋮ On tame kernels and ideal class groups ⋮ Tame Kernels of Quaternion Number Fields ⋮ Tame kernels of cubic and sextic fields ⋮ Reflection Theorems and the Tame Kernel of a Number Field ⋮ Reflection theorems and the \(p\)-Sylow subgroup of \(K_{2}O_F\) for a number field \(F\) ⋮ The Tame Kernel of Multiquadratic Number Fields ⋮ On 2-Sylow Subgroups of Tame Kernels

Cites Work

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• Relations between \(K_2\) and Galois cohomology
• 8-ranks of \(K_2\) of rings of integers in quadratic number fields
• 2-Sylow subgroups of \(K_ 2O_ F\) for real quadratic fields \(F\)
• On the 2-primary part of a conjecture of Birch and Tate
• On the 2-Sylow subgroup of the Hilbert kernel of $K_{2}$ of number fields
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• Tame kernels under relative quadratic extensions and Hilbert symbols
• 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

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