Geodesic
Boolean lattices of multiply $\Omega$-foliated formations
Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 42-46

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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. 
@article{DM_2002_14_3_a4,
     author = {Yu. A. Skachkova},
     title = {Boolean lattices of multiply $\Omega$-foliated formations},
     journal = {Diskretnaya Matematika},
     pages = {42--46},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2002_14_3_a4/}
}
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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/