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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 2, Pages 540–554
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.039 (Mi semr1702) 		 
Mathematical logic, algebra and number theory

On $3$-generated $6$-transposition groups

V. A. Afanasev, A. S. Mamontov

Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
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DOI: https://doi.org/doi.org/10.33048/semi.2024.21.039
Abstract: We study $6$-transposition groups, i.e. groups generated by a normal set of involutions $D$, such that the order of the product of any two elements from $D$ does not exceed $6$. We classify most of the groups generated by $3$ elements from $D$, two of which commute, and prove they are finite.
Keywords: $6$-transposition group.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-281
The work is supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation.
Received April 1, 2024, published August 23, 2024
Document Type: Article
UDC: 512.54
MSC: 20F05
Language: English
Citation: V. A. Afanasev, A. S. Mamontov, “On $3$-generated $6$-transposition groups”, Sib. Èlektron. Mat. Izv., 21:2 (2024), 540–554
Citation in format AMSBIB
\Bibitem{AfaMam24}
\by V.~A.~Afanasev, A.~S.~Mamontov
\paper On $3$-generated $6$-transposition groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2024
\vol 21
\issue 2
\pages 540--554
\mathnet{http://mi.mathnet.ru/semr1702}
\crossref{https://doi.org/doi.org/10.33048/semi.2024.21.039}
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