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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 513, Pages 193–217 (Mi znsl7237)  
On $(2,3)$-generation of $\mathrm{SL}_5(\mathbb{Z}_p)$

D. I. Shkolnik
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Abstract: It is proved that the group $\mathrm{SL}_5(\mathbb{Z}_p)$ is $(2,3)$-generated for all primes $p$.
Key words and phrases: $(2,3)$-generation, linear groups.
Received: 04.10.2022
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 3, Pages 398–415
DOI: https://doi.org/10.1007/s10958-025-07707-2
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Document Type: Article
Language: Russian
Citation: D. I. Shkolnik, “On $(2,3)$-generation of $\mathrm{SL}_5(\mathbb{Z}_p)$”, Problems in the theory of representations of algebras and groups. Part 38, Zap. Nauchn. Sem. POMI, 513, POMI, St. Petersburg, 2022, 193–217; J. Math. Sci. (N. Y.), 288:3 (2025), 398–415
Citation in format AMSBIB
\Bibitem{Shk22}
\by D.~I.~Shkolnik
\paper On $(2,3)$-generation of $\mathrm{SL}_5(\mathbb{Z}_p)$
\inbook Problems in the theory of representations of algebras and groups. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 513
\pages 193--217
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7237}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4508379}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 3
\pages 398--415
\crossref{https://doi.org/10.1007/s10958-025-07707-2}
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