Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields

DOI10.1090/conm/024zbMath0519.12001OpenAlexW1912199649MaRDI QIDQ3669519

Publication date: 1983

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/024

zbMATH Keywords

central extensions inertia groups genus field Hasse norm principle Schur multiplier transgression non-Abelian class field theory number knot duality theorem of Tate-Poitou correspondence between modular forms and two-dimensional representations of Galois groups explicit arithmetic results ideal class groups of absolutely Abelian fields maximal l-extension

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Langlands-Weil conjectures, nonabelian class field theory (11R39) Galois cohomology (11R34)

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