The Haase norm theorem mod squares

DOI10.1016/0022-314X(92)90098-AzbMath0771.11045OpenAlexW2088330506MaRDI QIDQ1201738

David B. Leep, Adrian R. Wadsworth

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1016/0022-314x(92)90098-a

zbMATH Keywords

normsHasse norm principlelocal-global principleclass field theoryabelian extensions of global fields

Mathematics Subject Classification ID

Class field theory (11R37) Other abelian and metabelian extensions (11R20)

Related Items (13)

Quartic polynomials and the Hasse norm theorem modulo squares ⋮ Wild primes of a higher degree self-equivalence of a number field ⋮ Wild primes of a self-equivalence of a number field ⋮ The anisotropic part of a quadratic form over a number field ⋮ Computing Square Roots in Quaternion Algebras ⋮ Even points on an algebraic curve ⋮ Unnamed Item ⋮ Witt equivalence of semilocal Dedekind domains in global fields ⋮ Splitting varieties for triple Massey products ⋮ Witt Rings of Global Fields ⋮ Witt rings of Hasse domains of global fields ⋮ Incidence relation for primes of a global function field ⋮ On indecomposable quadratic lattices over global function fields

Cites Work

• The level of division algebras over local and global fields
• The Norm Exponent in Galois Extensions of Number Fields
• The Transfer Ideal of Quadratic Forms and a Hasse Norm Theorem Mod Squares
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