THE HASSE NORM PRINCIPLE FOR ALGEBRAIC NUMBER FIELDS

DOI10.1070/IM1987v029n02ABEH000971zbMath0624.12009OpenAlexW1981804639MaRDI QIDQ3762415

Yu. A. Drakokhrust, Vladimir Platonov

Publication date: 1987

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1987v029n02abeh000971

zbMATH Keywords

Hasse norm principlelocal-global principleobstruction to Hasse principlelocal Galois groupsGalois groups of maximal p-extensions of local fieldsglobal Galois groupssubfields of finite-dimensional division rings

Mathematics Subject Classification ID

Galois cohomology (11S25) Galois cohomology (12G05) Class field theory (11R37) Ramification and extension theory (11S15) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Multiplicative and norm form equations (11D57)

Related Items (10)

The Hasse Norm Principle in Global Function Fields ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Equality of norm groups of subextensions of \(S_ n\) \((n\leq 5)\) extensions of algebraic number fields. ⋮ Rationality problem for generic tori in simple groups. ⋮ 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 ⋮ 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 ⋮ On the Distribution of Norm Groups of Algebraic Number Fields ⋮ Norm one tori and Hasse norm principle. II: Degree 12 case

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