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Generating Triples of Conjugate Involutions for Finite Simple Groups

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Algebra and Logic Aims and scope

It is proved that among finite simple non-Abelian groups only the groups U3(3) and A8 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.

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Authors and Affiliations

  1. Steklov Institute of Mathematics, St. Petersburg Branch, St. Petersburg, Russia

    M. A. Vsemirnov

  2. Siberian Federal University, Institute of Mathematics and Fundamental Informatics, Krasnoyarsk, Russia

    Ya. N. Nuzhin

Authors
  1. M. A. Vsemirnov
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  2. Ya. N. Nuzhin
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Correspondence to M. A. Vsemirnov.

Additional information

Translated from Algebra i Logika, Vol. 62, No. 5, pp. 569-592, September-October, 2023. Russian DOI:https://doi.org/10.33048/alglog.2023.62.501.

M. A. Vsemirnov and Ya. N. Nuzhin are supported by the Russian Science Foundation, project No. 22-21-00733.

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Vsemirnov, M.A., Nuzhin, Y.N. Generating Triples of Conjugate Involutions for Finite Simple Groups. Algebra Logic 62, 379–397 (2023). https://doi.org/10.1007/s10469-024-09753-2

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  • DOI: https://doi.org/10.1007/s10469-024-09753-2

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