Geodesic
On factorizations of subformations of one-generated hereditary $\omega$-saturated formations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 232-237 Cet article a éte moissonné depuis la source Math-Net.Ru

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The product $\mathfrak{MH}$ of formations $\mathfrak M$ and $\mathfrak H$ is the class of groups $(G\mid G^\mathfrak H\in\mathfrak M)$. Let $\mathfrak{MH}\subseteq\mathfrak F$, where $\mathfrak F=s^\omega\mathrm{form}G$ is a one-generated hereditary $\omega$-saturated formation. We prove that $\mathfrak M$ is a soluble formation if formations $\mathfrak M$ and $\mathfrak H$ are such that $\mathfrak H\ne\mathfrak{MH}$.
Keywords: one-generated hereditary $\omega$-saturated formation
Mots-clés : product of formations, $V$-satellite. 
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V. M. Sel'kin. On factorizations of subformations of one-generated hereditary $\omega$-saturated formations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 232-237. http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a21/

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