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MATHEMATICS
On the intersection of functorial non-$\mathfrak{F}$-subgroups in groups with operators
R. V. Borodich Francisk Skorina Gomel State University
Abstract:
The paper considers the structure of the subgroup associated with the intersection of kernels maximal $A$-admissible
subgroups that do not simultaneously belong to the formation $\mathfrak{F}$ and do not contain $\mathfrak{F}$-residuals whose indices have certain restrictions. The main properties of the corresponding generalized Frattini subgroup are established.
Keywords:
finite group, formation, $\mathfrak{F}$-residual.
Received: 27.04.2022
Citation:
R. V. Borodich, “On the intersection of functorial non-$\mathfrak{F}$-subgroups in groups with operators”, PFMT, 2022, no. 3(52), 72–75
Linking options:
https://www.mathnet.ru/eng/pfmt861 https://www.mathnet.ru/eng/pfmt/y2022/i3/p72
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Abstract page: | 47 | Full-text PDF : | 13 | References: | 13 |
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