Geodesic
On finite groups with Hall normally embedded Schmidt subgroups
Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 90-96.

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A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if each Schmidt subgroup of a finite group G is Hall normally embedded in G, then the derived subgroup of G is nilpotent.
Mots-clés : finite group, Hall subgroup, normal subgroup, derived subgroup, nilpotent subgroup. 
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Viktoryia N. Knyahina; Victor S. Monakhov. On finite groups with Hall normally embedded Schmidt subgroups. Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 90-96. https://geodesic-test.mathdoc.fr/item/ADM_2018_26_1_a8/

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