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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2022, Volume 56, Issue 1, Pages 27–32
DOI: https://doi.org/10.46991/PYSU:A/2022.56.1.027 (Mi uzeru929) 		 
Mathematics

Perfectly stable and normal subgroups

Sh. K. Navasardyan

Yerevan State University, Faculty of Mathematics and Mechanics
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DOI: https://doi.org/10.46991/PYSU:A/2022.56.1.027
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.
Received: 04.03.2022
Revised: 24.03.2022
Accepted: 04.04.2022
Document Type: Article
MSC: Primary 20E07; Secondary 20N05
Language: English
Citation: Sh. K. Navasardyan, “Perfectly stable and normal subgroups”, Proceedings of the YSU, Physical and Mathematical Sciences, 56:1 (2022), 27–32
Citation in format AMSBIB
\Bibitem{Nav22}
\by Sh.~K.~Navasardyan
\paper Perfectly stable and normal subgroups
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2022
\vol 56
\issue 1
\pages 27--32
\mathnet{http://mi.mathnet.ru/uzeru929}
\crossref{https://doi.org/10.46991/PYSU:A/2022.56.1.027}
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