On satellites of $\sigma_\Omega$-foliated formations of groups

Only finite groups are considered. A class of groups is called a formation if it is closed under taking homomorphic images and subdirect products. For a non-empty class $\Omega$ of simple groups V.A. Vedernikov defined $\Omega$-foliated formations of finite groups using two types of functions (functions-satellites and functions-directions). Let $\sigma_\Omega$ be an arbitrary partition of the class $\Omega$. The article studies $\sigma_\Omega$-foliated formations constructed by the authors as a natural generalization of the concept of an $\Omega$-foliated formation using A.N. Skiba's $\sigma$-methods. In the paper we proved the existence of different types of satellites of $\sigma_\Omega$-foliated formations and described their structure.