Geodesic
On the Membership Problem of Finite Groups in Solvably Saturated Formations
Matematičeskie zametki, Tome 92 (2012) no. 4, pp. 559-566

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Theorems on the inclusion of a finite group $G$ in a solvably saturated formation $\mathfrak F$ are proved in terms of $\mathfrak F$-centrality and $c$-normality.
Keywords: saturated formation, solvably saturated formation, $\mathfrak F$-central formation, $c$-normal subgroup, Frattini extension. 
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     author = {S. F. Kamornikov and L. P. Avdashkova},
     title = {On the {Membership} {Problem} of {Finite} {Groups} in {Solvably} {Saturated} {Formations}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_4_a6/}
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S. F. Kamornikov; L. P. Avdashkova. On the Membership Problem of Finite Groups in Solvably Saturated Formations. Matematičeskie zametki, Tome 92 (2012) no. 4, pp. 559-566. http://geodesic.mathdoc.fr/item/MZM_2012_92_4_a6/