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Algebra i logika, 2023, Volume 62, Number 5, Pages 569–592
DOI: https://doi.org/10.33048/alglog.2023.62.501 (Mi al2778) 		 
Generating triples of conjugate involutions for finite simple groups

M. A. Vsemirnova, Ya. N. Nuzhinb

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk
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DOI: https://doi.org/10.33048/alglog.2023.62.501
Abstract: It is proved that among finite simple non-Abelian groups, only the groups $U_3(3)$ and $A_8$ are not generated by three conjugate involutions. This result is obtained modulo a known conjecture on the description of finite simple groups generated by two elements of orders 2 and 3.
Keywords: finite simple group, generating triples of conjugate involutions, characters of a group.
Funding agency Grant number
Russian Science Foundation 22-21-00733
M. A. Vsemirnov and Ya. N. Nuzhin are supported by the Russian Science Foundation, project No. 22-21-00733.
Received: 02.03.2023
Revised: 28.08.2024
English version:
Algebra and Logic, 2023, Volume 62, Issue 5, Pages 379–397
DOI: https://doi.org/10.1007/s10469-024-09753-2
Document Type: Article
UDC: 512.54
Language: Russian
Citation: M. A. Vsemirnov, Ya. N. Nuzhin, “Generating triples of conjugate involutions for finite simple groups”, Algebra Logika, 62:5 (2023), 569–592; Algebra and Logic, 62:5 (2023), 379–397
Citation in format AMSBIB
\Bibitem{VseNuz23}
\by M.~A.~Vsemirnov, Ya.~N.~Nuzhin
\paper Generating triples of conjugate involutions for finite simple groups
\jour Algebra Logika
\yr 2023
\vol 62
\issue 5
\pages 569--592
\mathnet{http://mi.mathnet.ru/al2778}
\transl
\jour Algebra and Logic
\yr 2023
\vol 62
\issue 5
\pages 379--397
\crossref{https://doi.org/10.1007/s10469-024-09753-2}
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