Obstructions de Brauer-Manin enti\`eres sur les espaces homog\`enes \`a stabilisateurs finis nilpotents

Abstract

Let k be a number field. We construct homogeneous spaces of SLn,k with finite nilpotent non-abelian stabilizers for which the Brauer-Manin obstruction does not explain the failure of strong approximation (resp. the failure of the integral Hasse principle).

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