|
|
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.
Received: 18.03.2024
Revised: 05.04.2024
Accepted: 18.06.2024
Citation:
V. I. Murashka, “On the classes of finite groups defined by the systems of generalized subnormal subgroups”, Proceedings of the Institute of Mathematics of the NAS of Belarus, 32:1 (2024), 25–30
Linking options:
https://www.mathnet.ru/eng/timb380 https://www.mathnet.ru/eng/timb/v32/i1/p25
|
| Statistics & downloads: |
| Abstract page: | 33 | | Full-text PDF : | 13 | | References: | 16 |
|
Citation in format AMSBIB
Contact us: