Geodesic
Finite groups with a given set of Schmidt subgroups
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 717-722.

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We obtain a description of finite groups all of whose Schmidt subgroups are either supersolvable or not supersolvable. In particular, we show that these groups are always solvable. 
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     author = {V. S. Monakhov},
     title = {Finite groups with a given set of {Schmidt} subgroups},
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V. S. Monakhov. Finite groups with a given set of Schmidt subgroups. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 717-722. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a6/

[1] Shemetkov L. A., Formatsii konechnykh grupp, Nauka, M., 1978 | Zbl

[2] Thompson J., “Nonsolvable finite groups all of whose local subgroups are solvable”, Bull. Amer. Math. Soc., 74:3 (1968), 383–437 | DOI | MR | Zbl

[3] Huppert B., Endliche Gruppen, V. I, Berlin, 1967