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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive
Proceedings of the YSU, Physical and Mathematical Sciences, 2022 Volume 56, Issue 1, Pages 27–32 (Mi uzeru929)
Mathematics

Perfectly stable and normal subgroups

Sh. K. Navasardyan

Yerevan State University, Faculty of Mathematics and Mechanics

Abstract: 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.

MSC: Primary 20E07; Secondary 20N05

Received: 04.03.2022
Revised: 24.03.2022
Accepted: 04.04.2022

Language: English

DOI: 10.46991/PYSU:A/2022.56.1.027


© Steklov Math. Inst. of RAS, 2025