On knots in algebraic number theory.

DOI10.1515/crll.1979.311-312.215zbMath0432.12006OpenAlexW1494553674MaRDI QIDQ3869432

Wolfram Jehne

Publication date: 1979

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

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002196654

zbMATH Keywords

genus theoryLeopoldt conjectureHasse norm theoremnumber knotdivisor knotexact knot sequenceideal class knotinfinite Galois extensionsunit knot

Mathematics Subject Classification ID

Galois cohomology (12G05) Class field theory (11R37) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (21)

On the 2-class group of real multiquadratic fields ⋮ A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower ⋮ Algebraic number fields ⋮ On the equality of norm groups of global fields ⋮ On the Hilbert 2-class field tower of some abelian 2-extensions over the field of rational numbers ⋮ Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\) ⋮ On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields ⋮ Konstruktion imaginärquadratischer Körper mit unendlichem Klassenkörperturm ⋮ Eine Verallgemeinerung der Klassenrangabschätzung für Zahlkörper von Roquette und Zassenhaus ⋮ Zahlentheoretische Knoten unendlicher Erweiterungen ⋮ A scholion on Hilbert's Theorem 90 ⋮ On the cyclicity of the 2-class group of the fields $\mathbb{Q}(i,\sqrt{p_1},\dots,\sqrt{p_n})$ ⋮ Retracted: A note on number knots and the splitting of the Hilbert class field ⋮ David Hilbert: The theory of algebraic number fields. Jahresber. Deutsche Math. Ver. 4 (1897), 175--546 ⋮ Deflation and residuation for class formation ⋮ On the norm groups of global fields ⋮ Zur Auflösung zahlentheoretischer Knoten in Galoiserweiterungen von \(\mathbb{Q}\) ⋮ A remark on Scholz's Abelian crossings ⋮ Kapitulationsproblem und Knotentheorie ⋮ On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4 ⋮ Constructing abelian extensions with prescribed norms

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