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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 6, Pages 1160–1171
DOI: https://doi.org/10.33048/smzh.2023.64.605 (Mi smj7822) 		 
The minimal number of generating involutions whose product is $1$ for the groups $PSL_3(2^m)$ and $PSU_3(q^2)$

R. I. Gvozdev, Ya. N. Nuzhin

Siberian Federal University, Krasnoyarsk
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DOI: https://doi.org/10.33048/smzh.2023.64.605
Abstract: Considering the groups $PSL_3(2^m)$ and $PSU_3(q^2)$, we find the minimal number of generating involutions whose product is $1$. This number is $7$ for $PSU_3(3^2)$ and $5$ or $6$ in the remaining cases.
Keywords: finite simple group, generating set of involutions, character of a group representation, special linear and unitary groups.
Funding agency Grant number
Russian Science Foundation 22-21-00733
The research was supported by the Russian Science Foundation (Grant no. 22–21–00733).
Received: 12.03.2023
Revised: 12.03.2023
Accepted: 25.09.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 6, Pages 1297–1306
DOI: https://doi.org/10.1134/S0037446623060058
Document Type: Article
UDC: 512.542+512.547
MSC: 35R30
Language: Russian
Citation: R. I. Gvozdev, Ya. N. Nuzhin, “The minimal number of generating involutions whose product is $1$ for the groups $PSL_3(2^m)$ and $PSU_3(q^2)$”, Sibirsk. Mat. Zh., 64:6 (2023), 1160–1171; Siberian Math. J., 64:6 (2023), 1297–1306
Citation in format AMSBIB
\Bibitem{GvoNuz23}
\by R.~I.~Gvozdev, Ya.~N.~Nuzhin
\paper The minimal number of~generating involutions whose product is~$1$ for the groups~$PSL_3(2^m)$ and~$PSU_3(q^2)$
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 6
\pages 1160--1171
\mathnet{http://mi.mathnet.ru/smj7822}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 6
\pages 1297--1306
\crossref{https://doi.org/10.1134/S0037446623060058}
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