Liftez les Sylows! Une suite \`a ``Sous-groupes periodiques d'un groupe   stable''
  If $G$ is an omega-stable group with a normal definable subgroup $H$, then the Sylow-$2$-subgroups of $G/H$ are the images of the Sylow-$2$-subgroups of $G$. 
Bruno Poizat, Frank Olaf Wagner