Geodesic
Perfectly stable and normal subgroups
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 56 (2022) no. 1, pp. 27-32

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The equivalence between the concepts of normal and perfectly stable subgroups is shown. The proof of the main theorem is based on a novel concept of hypergroups over a group.
Keywords: hypergroup over a group, perfectly stable, normal subgroups. 
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Sh. K. Navasardyan. Perfectly stable and normal subgroups. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 56 (2022) no. 1, pp. 27-32. http://geodesic.mathdoc.fr/item/UZERU_2022_56_1_a3/