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Matematicheskie Zametki, 2019, Volume 105, Issue 4, Pages 519–525
DOI: https://doi.org/10.4213/mzm11926 (Mi mzm11926) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Characterization of Locally Finite Simple Groups of Type $G_2$ over Fields of Odd Characteristics in the Class of Periodic Groups

X. Zhua, D. V. Lytkinab, V. D. Mazurovc

a Nanjing University of Aeronautics and Astronautics
b Siberian State University of Telecommunications and Informatics, Novosibirsk
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.4213/mzm11926
Abstract: We prove that a periodic group is locally finite, given that each of its finite subgroups lies in a subgroup isomorphic to a finite simple group $G_2$ of Lie type over a field of odd characteristic.
Keywords: periodic group, locally finite group, group of Lie type, saturation.
Funding agency Grant number
Russian Science Foundation 14-21-00065
This work was supported by the Russian Science Foundation under grant 14-21-00065.
Received: 15.01.2018
Revised: 20.04.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 4, Pages 513–518
DOI: https://doi.org/10.1134/S0001434619030234
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: X. Zhu, D. V. Lytkina, V. D. Mazurov, “Characterization of Locally Finite Simple Groups of Type $G_2$ over Fields of Odd Characteristics in the Class of Periodic Groups”, Mat. Zametki, 105:4 (2019), 519–525; Math. Notes, 105:4 (2019), 513–518
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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