On the equality of norm groups of global fields

DOI10.1016/0022-314X(90)90009-GzbMath0718.11056MaRDI QIDQ2639097

Leonid Stern

Publication date: 1990

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

zbMATH Keywords

Galois extensionsnorm formsfinite separable extensionsnorm groupsnormal core

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Quadratic extensions (11R11) Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (7)

Equality of norm groups of subextensions of \(S_ n\) \((n\leq 5)\) extensions of algebraic number fields. ⋮ On Locally GCD Equivalent Number Fields ⋮ On the distribution of norm groups in the intervals corresponding to odd degree extensions of algebraic number fields ⋮ Criterion for the equality of norm groups of idele groups 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

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• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• On the norm groups of global fields
• On non‐ramified extensions with prescribed Galois group
• On knots in algebraic number theory.
• Endliche Gruppen I

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