Geodesic
Boolean lattices of multiply $\Omega$-foliated formations
Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 42-46 
Yu. A. Skachkova. Boolean lattices of multiply $\Omega$-foliated formations. Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 42-46. http://geodesic.mathdoc.fr/item/DM_2002_14_3_a4/
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     title = {Boolean lattices of multiply $\Omega$-foliated formations},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the context of a new functional approach to the study of classes of groups, V. A. Vedernikov and M. M. Sorokina introduced $\Omega$-foliated formations, which gave a possibility to systematise a wide class of formations of finite groups. In this paper, we study $n$-multiply $\Omega$-foliated formations with $r$-direction $\varphi$ such that $\varphi_0\leq\varphi$, $\varphi (A)\subseteq\mathfrak G_{A'}\mathfrak G_{A}$ for all $A\in\mathfrak I$ whose lattice of all $n$-multiply $\Omega$-foliated subformations with direction $\varphi$ is Boolean.

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