Some local-global principles in the arithmetic of algebraic groups over real function fields

DOI10.1007/BF02622095zbMath0842.20038OpenAlexW2159268227MaRDI QIDQ1910178

Nguyêñ Quôć Thǎńg

Publication date: 21 July 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02622095

zbMATH Keywords

Brauer groupsquadratic formssemisimple groupsweak approximationHasse principlecohomological Hasse principlereal function fieldsalmost simple \(k\)-groupsarithmetic of algebraic groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Classical groups (11E57)

Related Items (1)

ON THE RATIONALITY OF ALMOST SIMPLE ALGEBRAIC GROUPS

Cites Work

• On the structure of algebraic groups over global fields
• Tori invariant under an involutorial automorphism. I
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• Eine Bemerkung zum schwachen Approximationssatz
• Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
• The Congruence Subgroup Problem Over Local Fields
• SEMISIMPLE ALGEBRAIC GROUPS WHICH ARE SPLIT OVER A QUADRATIC EXTENSION
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