The structure of the 2-Sylow-subgroup of \(K_ 2({\mathfrak o})\). I

DOI10.1007/BF02621923zbMath0601.12017MaRDI QIDQ1080888

Manfred Kolster

Publication date: 1986

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140059

zbMATH Keywords

totally real number field\(K_ 2\)S-class groupBirch-Tate conjecture

Mathematics Subject Classification ID

Iwasawa theory (11R23) (K)-theory of global fields (11R70) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

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The structure of the 2-Sylow subgroup of \(K_ 2({\mathfrak o})\). II ⋮ On the 2-primary part of tame kernels of real quadratic fields ⋮ The Structure of the Tame Kernels of Quadratic Number Fields (III) ⋮ Tame kernels of cubic cyclic fields ⋮ A cohomological study of the 2-primary part of \(K_2{\mathcal O})\) ⋮ Quadratic extensions with elementary abelian \(K_ 2(O)\) ⋮ \(K_ 2\) of rings of algebraic integers ⋮ A Remark onK₂of the Rings of Integers of Totally Real Number Fields ⋮ The formula of 8-ranks of tame kernels ⋮ Tame kernels for biquadratic number fields ⋮ An idelic approach to the wild kernel