2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150121We extend an exact sequence of Colliot-Thelene and Sansuc which connects arithmetic and birational invariants of tori over a number field to one for arbitrary connected linear algebraic groups.AMSLaTeX, 12 pagesAlgebraic GeometryWeak approximation and Manin group of R-equivalencestext