Geodesic
The factorisation of one-generated partially foliated formations
Diskretnaya Matematika, Tome 21 (2009) no. 3, pp. 99-118.

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In the paper, only finite groups are considered, we describe a large class of one-generated factorable $\Omega$-foliated formations including $\Omega$-compositional, $\Omega$-bicanonical and other formations. 
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A. B. Elovikov. The factorisation of one-generated partially foliated formations. Diskretnaya Matematika, Tome 21 (2009) no. 3, pp. 99-118. http://geodesic.mathdoc.fr/item/DM_2009_21_3_a8/

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