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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 P2P2 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 P2 introduced by B. Amberg, A.S. Kazarin and Hefling is obtained.
Keywords:
finite group, product of pairwise permutable subgroups, formation with the P2 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 P2 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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Statistics & downloads: |
Abstract page: | 163 | Full-text PDF : | 63 | References: | 24 |
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