Geodesic
On a question of A. N. Skiba about totally saturated formations
Algebra and discrete mathematics, no. 3 (2008), pp. 88-97
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It is proved that the lattice of $\tau$-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4. 2. 15 proposed by A. N. Skiba in his monograph “Algebra of Formations” (1997).
Keywords: formation of finite groups, totally saturated formation, lattice of formations, $\tau$-closed formation. 
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Vasily G. Safonov. On a question of A. N. Skiba about totally saturated formations. Algebra and discrete mathematics, no. 3 (2008), pp. 88-97. http://geodesic.mathdoc.fr/item/ADM_2008_3_a6/