On the wild kernel of number fields and the group of logarithmic classes

DOI10.1007/S002090100256zbMath1009.11062OpenAlexW1989316405MaRDI QIDQ5950066

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Publication date: 9 April 2002

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002090100256

zbMATH Keywords

wild kernel\(K_2\) of a number fieldHilbert kernelLeopoldt's reflection theoremlogarithmic \(\ell\)-classSpiegelungssatz

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) (K)-theory of global fields (11R70) Steinberg groups and (K_2) (19C99)

Related Items (9)

\(K_2\) and the Greenberg conjecture in multiple \(\mathbb Z_p\)-extensions ⋮ On the cyclotomic norms and the Leopoldt and Gross-Kuz'min conjectures ⋮ A new regulator of Gross type ⋮ 2-group of positive classes of a number field and wild kernel of \(K\)-theory. ⋮ Étale wild kernels of exceptional number fields ⋮ Logarithmic approach of the étale wild kernels of number fields. ⋮ Computation of 2-groups of narrow logarithmic divisor classes of number fields ⋮ Computation of 2-groups of positive classes of exceptional number fields ⋮ On the mu and lambda invariants of the logarithmic class group

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