On an obstruction to the Hasse norm principle and the equality of norm groups of algebraic number fields

DOI10.1006/jnth.1998.2342zbMath0938.11054OpenAlexW2090173976MaRDI QIDQ1283147

Leonid Stern

Publication date: 21 June 2000

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2342

zbMATH Keywords

Galois extensionsHasse norm principlesolitary non-Galois extension

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37)

Related Items (4)

Equality of norm groups of subextensions of \(S_ n\) \((n\leq 5)\) extensions of algebraic number fields. ⋮ On the distribution of norm groups in the intervals corresponding to odd degree extensions of algebraic number fields ⋮ On the norm groups of Galois \(2\mathfrak n\)-extensions of algebraic number fields ⋮ On the Distribution of Norm Groups of Algebraic Number Fields

Cites Work

• Unnamed Item
• Unnamed Item
• Criterion for the equality of norm groups of idele groups of algebraic number fields
• Zeroes of permutation characters with applications to prime splitting and Brauer groups
• Zur Arithmetik von Diedergruppenerweiterungen
• Zur Arithmetik von Konjugationsklassen in algebraischen Gruppen
• Solitary Galois extensions of algebraic number fields
• Über das Einbettungsproblem der algebraischen Zahlentheorie
• On the equality of norm groups of global fields
• THE HASSE NORM PRINCIPLE FOR ALGEBRAIC NUMBER FIELDS
• SL(2,5) and Frobenius Galois Groups Over Q
• On the Hasse norm principle.
• The Hasse norm principle in non-abelian extensions.

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