Geodesic
Soluble saturated formations with the $\mathcal{P}_2$ property for finite groups
Problemy fiziki, matematiki i tehniki, no. 1 (2020), pp. 74-80

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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. 
@article{PFMT_2020_1_a10,
     author = {S. V. Balychev and A. S. Vegera},
     title = {Soluble saturated formations with the $\mathcal{P}_2$ property for finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {74--80},
     publisher = {mathdoc},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_1_a10/}
}
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S. V. Balychev; A. S. Vegera. Soluble saturated formations with the $\mathcal{P}_2$ property for finite groups. Problemy fiziki, matematiki i tehniki, no. 1 (2020), pp. 74-80. http://geodesic.mathdoc.fr/item/PFMT_2020_1_a10/