Geodesic
On minimal $\omega$-composition non-$\frak H$-formations
Algebra and discrete mathematics, no. 4 (2006), pp. 1-11.

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Let $\frak{H}$ be some class of groups. A formation $\frak{F}$ is called a minimal $\tau$-closed $\omega$-composition non-$\frak{H}$-formation [1] if $\frak{F}\nsubseteq\frak{H}$ but $\frak{F}_1\subseteq\frak{H}$ for all proper $\tau$-closed $\omega$-composition subformations $\frak{F}_1$ of $\frak{F}$. In this paper we describe the minimal $\tau$-closed $\omega$-composition non-$\frak{H}$-formations, where $\frak H$ is a 2-multiply local formation and $\tau$ is a subgroup functor such that for any group $G$ all subgroups from $\tau(G)$ are subnormal in $G$.
Keywords: $\tau$-closed $\omega$-composition
Mots-clés : formation, satellite. 
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     title = {On minimal $\omega$-composition non-$\frak H$-formations},
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     year = {2006},
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Liudmila I. Belous; Vadim M. Sel'kin. On minimal $\omega$-composition non-$\frak H$-formations. Algebra and discrete mathematics, no. 4 (2006), pp. 1-11. http://geodesic.mathdoc.fr/item/ADM_2006_4_a0/