On $\omega$-Schunck classes and generalized projectors of finite groups

T. I. Vasilyeva<sup>ab

a</sup> Belarusian State University of Transport
^b Gomel State University

Abstract: Let $\omega$ be a non-empty set of primes. The operations $\mathrm{Q}_{\omega}$, $\mathrm{P}_{\omega}$ and $\mathrm{E}_{\Phi\omega}$ on classes of finite groups are introduced and studied. The $\omega$-Schunck class is defined and its applications to finding generalized projectors of groups and studying their properties are obtained.

UDC: 512.542

Received: 21.12.2018