Zur Arithmetik von Diedergruppenerweiterungen

DOI10.1007/BF01450542zbMath0452.12003OpenAlexW2051731751MaRDI QIDQ1148352

Hans-Jochen Bartels

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/163527

zbMATH Keywords

Galois cohomologyGalois groupHasse norm theoremDieder grouplocal global principle for skew field

Mathematics Subject Classification ID

Galois theory (11R32) Galois cohomology (12G05) Other number fields (11R21) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Galois cohomology (11R34)

Related Items (11)

The Hasse Norm Principle in Global Function Fields ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Norm one Tori and Hasse norm principle ⋮ Class numbers of multinorm-one tori ⋮ Equality of norm groups of subextensions of \(S_ n\) \((n\leq 5)\) extensions of algebraic number fields. ⋮ Tori associated to a quartic étale algebra ⋮ THE PROPORTION OF FAILURES OF THE HASSE NORM PRINCIPLE ⋮ The Hasse norm principle for \(A_n\)-extensions ⋮ On an obstruction to the Hasse norm principle and the equality of norm groups of algebraic number fields ⋮ Rational points on fibrations with few non-split fibres ⋮ Norm one tori and Hasse norm principle. II: Degree 12 case

Cites Work

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• Halbeinfache Gruppenschemata über Dedekindringen
• Subfields of division rings. I
• Lectures on Galois cohomology of classical groups. With an appendix by T. Springer
• On the Tamagawa number of algebraic tori
• On the Hasse norm principle.
• The Hasse norm principle in non-abelian extensions.
• The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields

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