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. 
@article{MZM_1995_58_5_a6,
     author = {V. S. Monakhov},
     title = {Finite groups with a given set of {Schmidt} subgroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {717--722},
     publisher = {mathdoc},
     volume = {58},
     number = {5},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a6/}
}
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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/