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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 5, Pages 1098–1109
DOI: https://doi.org/10.17377/smzh.2017.58.512 (Mi smj2922) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Characterization of simple symplectic groups of degree $4$ over locally finite fields of characteristic $2$ in the class of periodic groups

D. V. Lytkinaab, V. D. Mazurovcb

a Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Sobolev Institute of Mathematics, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2017.58.512
Abstract: Suppose that each finite subgroup of even order of a periodic group containing an element of order $2$ lies in a subgroup isomorphic to a simple symplectic group of degree $4$ over some finite field of characteristic $2$. We prove that in that case the group is isomorphic to a simple symplectic group $S_4(Q)$ over some locally finite field $Q$ of characteristic $2$.
Keywords: periodic group, period, symplectic group, locally finite group.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The authors were supported by the Russian Science Foundation (Grant 14-21-00065).
Received: 09.06.2017
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 5, Pages 850–858
DOI: https://doi.org/10.1134/S0037446617050123
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 35R30
Language: Russian
Citation: D. V. Lytkina, V. D. Mazurov, “Characterization of simple symplectic groups of degree $4$ over locally finite fields of characteristic $2$ in the class of periodic groups”, Sibirsk. Mat. Zh., 58:5 (2017), 1098–1109; Siberian Math. J., 58:5 (2017), 850–858
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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