On the Hasse norm principle for certain generalized dihedral extensions over \(\mathbb{Q}\)

DOI10.3792/PJAA.66.321zbMath0739.11053OpenAlexW2009449183MaRDI QIDQ1178755

Masanori Morishita

Publication date: 26 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.321

zbMATH Keywords

Galois cohomologyGalois extensionTate-Shafarevich groupknot groupHilbert class fieldHasse norm principleideal class groupgeneralized dihedral group

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Galois cohomology (11R34)

Cites Work

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• A note on the Artin map. II
• On S-class number relations of algebraic tori in Galois extensions of global fields
• A table of ideal class groups of imaginary quadratic fields
• On some class number relations for Galois extensions

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