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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 1, Pages 97–105
DOI: https://doi.org/10.33048/smzh.2021.62.108 (Mi smj7540) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On characterization of simple orthogonal groups of odd dimension in the class of periodic groups

D. V. Lytkinaabc, V. D. Mazurovb

a Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.108
Abstract: Suppose that $n$ is an integer, $n\geq 3$. We prove that a periodic group saturated with a set of the finite simple groups $O_{2n+1}(q)$, where $q$ is congruent to $\pm3$ modulo $8$, is isomorphic to $O_{2n+1}(F)$ for some locally finite field $F$.
Keywords: periodic group, group saturated with a set of groups, locally finite group.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
Russian Science Foundation 19-11-00039
The work of D. V. Lytkina was supported by the Mathematical Center in Akademgorodok under Agreement No. 075–15–2019–1613 with the Ministry of Science and Higher Education of the Russian Federation; the work of V. D. Mazurov was supported by the Russian Science Foundation (Project 19–11–00039).
Received: 23.07.2020
Revised: 23.07.2020
Accepted: 18.11.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 1, Pages 77–83
DOI: https://doi.org/10.1134/S0037446621010080
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: D. V. Lytkina, V. D. Mazurov, “On characterization of simple orthogonal groups of odd dimension in the class of periodic groups”, Sibirsk. Mat. Zh., 62:1 (2021), 97–105; Siberian Math. J., 62:1 (2021), 77–83
Citation in format AMSBIB
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