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Arithmetic purity of strong approximation for semi-simple simply connected groups

Arithmetic purity of strong approximation for semi-simple simply connected groups

In this article we establish the arithmetic purity of strong approximation for certain semisimple simply connected linear algebraic groups and their homogeneous spaces over a number field $k$ . For instance, for any such group $G$ and for any open subset $U$ of $G$ with ${\mathrm {codim}}(G\setminus U, G)\geqslant 2$ …