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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 6, Pages 1313–1319
DOI: https://doi.org/10.17377/smzh.2016.57.609 (Mi smj2825) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Sylow $2$-subgroups of the periodic groups saturated with finite simple groups

B. Lia, D. V. Lytkinabc

a School of Applied Mathematics, Chengdu University of Information Technology, Chengdu, P.R. China
b Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (278 kB) Citations (8)
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DOI: https://doi.org/10.17377/smzh.2016.57.609
Abstract: We prove that every $2$-subgroup of a periodic group saturated with groups of Lie type over fields of odd characteristics whose Lie ranks are bounded as a whole is Chernikov. In particular, every such group is locally finite.
Keywords: group saturated with a set of groups, periodic group, Sylow subgroup.
Funding agency Grant number
National Natural Science Foundation of China 11471055
The first author was supported by the National Natural Science Foundation of P.R. China (Grant 11471055).
Received: 11.06.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 6, Pages 1029–1033
DOI: https://doi.org/10.1134/S0037446616060094
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: B. Li, D. V. Lytkina, “Sylow $2$-subgroups of the periodic groups saturated with finite simple groups”, Sibirsk. Mat. Zh., 57:6 (2016), 1313–1319; Siberian Math. J., 57:6 (2016), 1029–1033
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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