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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2024, Volume 326, Pages 311–313
DOI: https://doi.org/10.4213/tm4434 (Mi tm4434) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a Family of Multivalued Groups

I. N. Ponomarenko

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
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DOI: https://doi.org/10.4213/tm4434
Abstract: For a family of $(2k+1)$-valued groups ($k\ge 1$) of three elements, we prove that a group from this family is a coset group if and only if $4k+3$ is a prime power. We also discuss the relation between three-element coset multivalued groups and finite groups of rank $3$.
Keywords: multivalued group, coset group, group of rank 3.
Funding agency
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Received: June 28, 2024
Revised: June 28, 2024
Accepted: July 2, 2024
Published: 25.12.2024
English version:
Proceedings of the Steklov Institute of Mathematics, 2024, Volume 326, Pages 286–288
DOI: https://doi.org/10.1134/S0081543824040138
Bibliographic databases:
Document Type: Article
UDC: 517.896
Language: Russian
Citation: I. N. Ponomarenko, “On a Family of Multivalued Groups”, Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, Steklov Math. Inst., Moscow, 2024, 311–313; Proc. Steklov Inst. Math., 326 (2024), 286–288
Citation in format AMSBIB
\Bibitem{Pon24}
\by I.~N.~Ponomarenko
\paper On a Family of Multivalued Groups
\inbook Topology, Geometry, Combinatorics, and Mathematical Physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2024
\vol 326
\pages 311--313
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4434}
\crossref{https://doi.org/10.4213/tm4434}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 326
\pages 286--288
\crossref{https://doi.org/10.1134/S0081543824040138}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85207232681}
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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