Geodesic
On satellites of $\sigma_\Omega$-foliated formations of groups
Diskretnaya Matematika, Tome 36 (2024) no. 1, pp. 103-115 Cet article a éte moissonné depuis la source Math-Net.Ru

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Only finite groups are considered. A class of groups is called a formation if it is closed under taking homomorphic images and subdirect products. For a non-empty class $\Omega$ of simple groups V.A. Vedernikov defined $\Omega$-foliated formations of finite groups using two types of functions (functions-satellites and functions-directions). Let $\sigma_\Omega$ be an arbitrary partition of the class $\Omega$. The article studies $\sigma_\Omega$-foliated formations constructed by the authors as a natural generalization of the concept of an $\Omega$-foliated formation using A.N. Skiba's $\sigma$-methods. In the paper we proved the existence of different types of satellites of $\sigma_\Omega$-foliated formations and described their structure.
Keywords: finite group, class of groups, $\sigma_\Omega$-foliated formation, satellite of $\sigma_\Omega$-foliated formation, direction of $\sigma_\Omega$-foliated formation.
Mots-clés : formation 
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M. M. Sorokina; A. S. Nesterov. On satellites of $\sigma_\Omega$-foliated formations of groups. Diskretnaya Matematika, Tome 36 (2024) no. 1, pp. 103-115. http://geodesic.mathdoc.fr/item/DM_2024_36_1_a4/

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