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Proceedings of the Institute of Mathematics of the NAS of Belarus, 2024 Volume 32, Number 1, Pages 25–30 (Mi timb380)

ALGEBRA AND NUMBER THEORY

On the classes of finite groups defined by the systems of generalized subnormal subgroups

V. I. Murashka

Francisk Skoryna Gomel State University, Gomel, Belarus

Abstract: The canonical locals definitions of the classes of groups defined by the systems of generalized subnormal subgroups in the case when these classes are local are constructed in the paper. Conditions are found under which a class of groups defined by a system of generalized subnormal subgroups is a Fitting formation.

Keywords: finite group, $\mathfrak{F}$-subnormal subgroup, saturated formation, Fitting formation.

UDC: 512.542

Received: 18.03.2024
Revised: 05.04.2024
Accepted: 18.06.2024



© Steklov Math. Inst. of RAS, 2025