Geodesic
On minimal $\sigma$-local non-$\mathfrak{H}$-formations of finite groups
Problemy fiziki, matematiki i tehniki, no. 4 (2020), pp. 105-112

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The critical $\sigma$-local formations of finite groups are studied, where $\sigma$ is some partition of the set of all primes $\mathbb{P}$. A criterion is obtained for critical $\sigma$-local formations. A description of critical $\sigma$-local formations is given for formations of all $\Pi$-groups, all $\sigma$-soluble $\Pi$-groups, where $\varnothing\ne\Pi\subseteq\sigma$, and a description of minimal $\sigma$-local non-$\sigma$-soluble formations of finite groups is obtained.
Keywords: finite group, formation $\sigma$-function, $\sigma$-local formation, critical $\sigma$-local formation
Mots-clés : local formation, $\sigma$-soluble group. 
@article{PFMT_2020_4_a18,
     author = {I. N. Safonova},
     title = {On minimal $\sigma$-local non-$\mathfrak{H}$-formations of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {105--112},
     publisher = {mathdoc},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_4_a18/}
}
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I. N. Safonova. On minimal $\sigma$-local non-$\mathfrak{H}$-formations of finite groups. Problemy fiziki, matematiki i tehniki, no. 4 (2020), pp. 105-112. http://geodesic.mathdoc.fr/item/PFMT_2020_4_a18/