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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 285–291
DOI: https://doi.org/10.33048/semi.2022.19.022 (Mi semr1499) 		 
Mathematical logic, algebra and number theory

Automorphisms of nonsplit coverings of $PSL_2(q)$ in odd characteristic dividing $q-1$

Andrei V. Zavarnitsine

Sobolev Institute of Mathematics, 4, Koptyug ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.022
Abstract: We classify the nonsplit extensions of elementary abelian $p$-groups by $\operatorname{PSL}_2(q)$, with odd $p$ dividing $q-1$, for an irreducible induced action, calculate the relevant low-dimensional cohomology groups, and describe the automorphism groups of such extensions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0002
Supported by RAS Fundamental Research Program, project FWNF-2022-0002.
Received March 31, 2022, published May 17, 2022
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20F28, 20D06, 20E22, 20J06
Language: English
Citation: Andrei V. Zavarnitsine, “Automorphisms of nonsplit coverings of $PSL_2(q)$ in odd characteristic dividing $q-1$”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 285–291
Citation in format AMSBIB
\Bibitem{Zav22}
\by Andrei~V.~Zavarnitsine
\paper Automorphisms of nonsplit coverings of $PSL_2(q)$ in odd characteristic dividing $q-1$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 285--291
\mathnet{http://mi.mathnet.ru/semr1499}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4449215}
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