The Hasse norm principle for \(A_n\)-extensions

DOI10.1016/j.jnt.2019.10.020zbMath1442.14086arXiv1806.11563OpenAlexW2990473846MaRDI QIDQ2308848

André Macedo

Publication date: 3 April 2020

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

Full work available at URL: https://arxiv.org/abs/1806.11563

zbMATH Keywords

computational methodsgroup cohomologylocal-global principlesarithmetic of algebraic tori

Mathematics Subject Classification ID

Rational points (14G05) Class field theory (11R37) Simple groups: alternating groups and groups of Lie type (20D06) Galois cohomology of linear algebraic groups (11E72) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Related Items (7)

Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ The Hasse Norm Principle in Global Function Fields ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Norm one Tori and Hasse norm principle ⋮ Class numbers of multinorm-one tori ⋮ Rational points on fibrations with few non-split fibres ⋮ Norm one tori and Hasse norm principle. II: Degree 12 case

Uses Software

• GAP

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