Strong approximation theorem for division algebras over \(\mathbb{R}(X)\)

DOI10.2969/jmsj/04930455zbMath0899.16005OpenAlexW2073262529MaRDI QIDQ1389875

Aiichi Yamasaki

Publication date: 21 September 1998

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04930455

zbMATH Keywords

Brauer groupscentral simple algebrascommutator subgroupsglobal fieldsstrong approximation propertyrational function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois cohomology (12G05) Infinite-dimensional and general division rings (16K40) Adèle rings and groups (11R56) Brauer groups of schemes (14F22)

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The finiteness of the genus of a finite-dimensional division algebra, and some generalizations ⋮ Linear algebraic groups with good reduction

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