Geodesic
Factorization of One-Generated Formations
Matematičeskie zametki, Tome 73 (2003) no. 5, pp. 684-697 
A. B. Elovikov. Factorization of One-Generated Formations. Matematičeskie zametki, Tome 73 (2003) no. 5, pp. 684-697. http://geodesic.mathdoc.fr/item/MZM_2003_73_5_a5/
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     author = {A. B. Elovikov},
     title = {Factorization of {One-Generated} {Formations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {684--697},
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     volume = {73},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_5_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A large class of one-generated factorable foliated formations including composition, bicanonical, and other formations is described. V. A. Vedernikov suggested to study foliated formations with directions $\beta$ such that $\alpha\le\beta\le\gamma$, where $\alpha$ and $\gamma$ are also some directions, from a unified point of view. We study one-generated factorable foliated formations with directions from the interval $[\alpha,\gamma]$, where $\alpha$ and $\gamma$ are the directions of the bicanonical and composition formations, respectively. In particular, all irreducible factorizations of one-generated composition formations are studied.

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