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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 1013–1019
DOI: https://doi.org/10.17377/smzh.2018.59.506 (Mi smj3026) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Characterization of locally finite simple groups of the type $^3D_4$ over fields of odd characteristic in the class of periodic groups

X. Weia, W. Guob, D. V. Lytkinacd, V. D. Mazurove

a Department of Mathematics and Physics, Anhui Jianzhu University, Hefei, P.R.C.
b School of Mathematical Sciences, University of Science and Technology of China, Hefei, P.R.C.
c Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
d Novosibirsk State University, Novosibirsk, Russia
e Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (285 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2018.59.506
Abstract: We prove that a periodic group is locally finite, given that each finite subgroup of the group lies in a subgroup isomorphic to a finite simple group of Lie type $^3D_4$ over a field of odd characteristic.
Keywords: periodic group, period, locally finite group, group of Lie type, group saturated with a set of groups.
Funding agency Grant number
National Natural Science Foundation of China 11771409
Russian Science Foundation 14-21-00065
The first and second authors were supported by the NNSF of China (Grant 11771409). The fourth author was supported by the Russian Science Foundation (Grant 14-21-00065).
Received: 27.05.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 799–804
DOI: https://doi.org/10.1134/S0037446618050063
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: X. Wei, W. Guo, D. V. Lytkina, V. D. Mazurov, “Characterization of locally finite simple groups of the type $^3D_4$ over fields of odd characteristic in the class of periodic groups”, Sibirsk. Mat. Zh., 59:5 (2018), 1013–1019; Siberian Math. J., 59:5 (2018), 799–804
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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