The tame kernel of imaginary quadratic fields with class number 2 or 3

DOI10.1090/S0025-5718-02-01453-9zbMath1023.11059OpenAlexW2042300713MaRDI QIDQ4806401

Hong You, Chen Sheng

Publication date: 14 May 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-02-01453-9

zbMATH Keywords

class numberquadratic fieldstame kernel

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) (K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Steinberg groups and (K_2) (19C99)

Cites Work

• Generalization of Thue's theorem and computation of the group \(K_ 2 O_ F\)
• Computation of \(K_ 2\mathbb{Z}[\sqrt {-6}\)]
• Computation of \(K_ 2\) for the ring of integers of quadratic imaginary fields.
• Computation of \(K_ 2\mathbb{Z}[\frac{1+\sqrt{-35}}{2}\)]
• Tame and wild kernels of quadratic imaginary number fields
• Imaginary quadratic fields with small odd class number
• Computing the tame kernel of quadratic imaginary fields

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