Criterion for the equality of norm groups of idele groups of algebraic number fields

DOI10.1006/jnth.1997.2063zbMath0869.11091OpenAlexW2005966216MaRDI QIDQ676223

Leonid Stern

Publication date: 18 August 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2063

zbMATH Keywords

Hasse's norm theoremidele groupsnumber knots

Mathematics Subject Classification ID

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

Related Items (5)

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 an obstruction to the Hasse norm principle and the equality of norm groups of algebraic number fields ⋮ On the Distribution of Norm Groups of Algebraic Number Fields

Cites Work

• Zeroes of permutation characters with applications to prime splitting and Brauer groups
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Kronecker classes of algebraic number fields
• Solitary Galois extensions of algebraic number fields
• Norm groups of global fields
• On the equality of norm groups of global fields
• Q-admissibility of sylow-metacyclic groups as quotient group
• On a Question of W. Jehne Concerning Covering Subgroups of Groups and Kronecker Classes of Fields
• SL(2,5) and Frobenius Galois Groups Over Q
• Zahlkörper mit gleicher Primzerlegung.
• Weakly Kronecker equivalent number fields and global norms
• Weakly Kronecker equivalent number fields
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