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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2020, Issue 1(42), Pages 74–80
(Mi pfmt699)
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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Soluble saturated formations with the $\mathcal{P}_2$ property for finite groups
S. V. Balychev, A. S. Vegera F. Scorina Gomel State University
Abstract:
The finite groups that can be represented as a product of pairwise permutable subgroups with formational restrictions on factors
and their partial products are studied. In particular, the description of solvable hereditary saturated formations of groups with
the property $\mathcal{P}_2$ introduced by B. Amberg, A.S. Kazarin and Hefling is obtained.
Keywords:
finite group, product of pairwise permutable subgroups, formation with the $\mathcal{P}_2$ property, formation with the Kegel property, formation with the Shemetkov property.
Received: 08.10.2019
Citation:
S. V. Balychev, A. S. Vegera, “Soluble saturated formations with the $\mathcal{P}_2$ property for finite groups”, PFMT, 2020, no. 1(42), 74–80
Linking options:
https://www.mathnet.ru/eng/pfmt699 https://www.mathnet.ru/eng/pfmt/y2020/i1/p74
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