Tame kernels under relative quadratic extensions and Hilbert symbols

DOI10.1515/crll.1998.056zbMath1044.11100OpenAlexW2093084446MaRDI QIDQ4398651

Manfred Kolster, Juergen Hurrelbrink

Publication date: 20 July 1998

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e763b98d440279befee53b16b802672aa1076442

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) (K)-theory of global fields (11R70) Symbols and arithmetic ((K)-theoretic aspects) (19F15)

Related Items (15)

On the 2-primary part of tame kernels of real quadratic fields ⋮ Tame kernels of cubic cyclic fields ⋮ Galois co-descent for étale wild kernels and capitulation ⋮ The densities for 3-ranks of tame kernels of cyclic cubic number fields ⋮ The generalized Rédei-matrix ⋮ On the 4-rank of the tame kernel \(K_2(\mathcal O)\) in positive definite terms ⋮ The 2-Sylow subgroup of \(K_{2} O_{F}\) for number fields \(F\) ⋮ The formula of 8-ranks of tame kernels ⋮ Reflection theorems and the \(p\)-Sylow subgroup of \(K_{2}O_F\) for a number field \(F\) ⋮ Genus fields of real biquadratic fields ⋮ Dyadic ideal, class group, and tame kernel in quadratic fields ⋮ Reflexion theorems ⋮ 8-ranks of \(K_2\) of rings of integers in quadratic number fields ⋮ On tame kernel and class group in terms of quadratic forms. ⋮ Tame kernels and further 4-rank densities.

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