The constructive description of the finite subdirect products of groups and as a consequence the description of subgroups of finite direct products of groups was formulated. Thus, the Kurosh problem in the case with finite number of direct factors was solved; closeness of class $E_{\pi}$ concerning finite subdirect products on the Schreier module was determined; the local products of nonlocal formations were built; the theory of foliated and fibered formations (with M. M. Sorokina) was developed.
Main publications:
Vedernikov V. A. Maximal satellites of $\Omega$-foliated formations and Fitting classes // Proc. of the Steklov Institute of Math., 2001(2), 217–233.
