On normal subclasses of Fischer class of finite groups

Let $\mathfrak{X}$ be a $\pi$-solvable Fischer class. In the paper we studied $\pi$-saturated Fitting classes, which are normal in $\mathfrak{X}$. It is proved, that intersection of any set of such classes is a $\pi$-saturated Fitting class, which is normal in $\mathfrak{X}$.