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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2020 Issue 1(42), Pages 74–80 (Mi pfmt699)

This article is cited 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.

UDC: 512.542

Received: 08.10.2019



© Steklov Math. Inst. of RAS, 2025