Algebraic Groups and Number Theory

DOI10.1017/9781139017756OpenAlexW4385852729MaRDI QIDQ5885420

Igor A. Rapinchuk, Andrei S. Rapinchuk, Vladimir Platonov

Publication date: 3 April 2023

Full work available at URL: https://doi.org/10.1017/9781139017756

zbMATH Keywords

Galois cohomologyquadratic formsnumber fieldsgroups of rational pointsglobal fieldsHasse principlerigidity theoremsdiscrete subgroups of Lie groupsautomorphic functionsnormal subgroup structureconnected semisimple groupsapproximation properties in algebraic varietiesarithmetic theory of algebraic groups

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Linear algebraic groups over global fields and their integers (20G30) Algebraic number theory: global fields (11Rxx) Galois cohomology of linear algebraic groups (11E72) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

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