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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 6, Pages 1308–1312
DOI: https://doi.org/10.33048/smzh.2022.63.611 (Mi smj7733) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Periodic groups saturated with finite simple symplectic groups of dimension 6 over fields of odd characteristics

D. V. Lytkinaabc, V. D. Mazurovcb

a Siberian State University of Telecommunications and Informatics, Novosibirsk
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State University
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DOI: https://doi.org/10.33048/smzh.2022.63.611
Abstract: We prove that a periodic group is locally finite, if its every finite subgroup lies in a subgroup isomorphic to a simple symplectic group of dimension 6 over some field of odd order and the centralizer of every involution of this group is locally finite. Moreover, such group is isomorphic to a simple symplectic group of dimension 6 over a suitable locally finite field of odd characteristic.
Keywords: periodic group, locally finite group, group of Lie type, group saturated with a set of groups.
Funding agency Grant number
Russian Science Foundation 19-11-00039
The work was supported by the Russian Science Foundation (Grant no. 19–11–00039).
Received: 05.09.2022
Revised: 05.09.2022
Accepted: 10.10.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 6, Pages 1117–1120
DOI: https://doi.org/10.1134/S0037446622060118
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: D. V. Lytkina, V. D. Mazurov, “Periodic groups saturated with finite simple symplectic groups of dimension 6 over fields of odd characteristics”, Sibirsk. Mat. Zh., 63:6 (2022), 1308–1312; Siberian Math. J., 63:6 (2022), 1117–1120
Citation in format AMSBIB
\Bibitem{LytMaz22}
\by D.~V.~Lytkina, V.~D.~Mazurov
\paper Periodic groups saturated with finite simple symplectic groups of dimension~6 over fields of odd characteristics
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 6
\pages 1308--1312
\mathnet{http://mi.mathnet.ru/smj7733}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 6
\pages 1117--1120
\crossref{https://doi.org/10.1134/S0037446622060118}
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