6.51 (1978)

Let $\mathfrak{F}$ be a local subformation of some formation $\mathfrak{X}$ of finite groups and let $\Omega$ be the set of all maximal homogeneous $\mathfrak{X}$-screens of $\mathfrak{F}$. Find a way of constructing the elements of $\Omega$ with the help of the maximal inner local screen of $\mathfrak{F}$. What can be said about the cardinality of $\Omega$? For definitions see (L. A. Shemetkov, Formations of finite groups, Moscow, Nauka, 1978 (Russian)).