%0 Journal Article %T Obstructions de Brauer-Manin enti¨¨res sur les espaces homog¨¨nes ¨¤ stabilisateurs finis nilpotents %A Cyril Demarche %J Mathematics %D 2014 %I arXiv %X Let $k$ be a number field. We construct homogeneous spaces of $SL_{n,k}$ 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). %U http://arxiv.org/abs/1402.6881v1