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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 394–399 (Mi smj1848)  
This article is cited in 22 scientific papers (total in 22 papers)

The periodic groups saturated by finitely many finite simple groups

D. V. Lytkinaa, L. R. Tukhvatullinab, K. A. Filippovb

a Novosibirsk State University
b Krasnoyarsk State Agricultural University
Full-text PDF (296 kB) Citations (22)
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Abstract: Denote by $\mathfrak M$ the set whose elements are the simple 3-dimensional unitary groups $U_3(q)$ and the linear groups $L_3(q)$ over finite fields. We prove that every periodic group, saturated by the groups of a finite subset of $\mathfrak M$, is finite.
Keywords: saturation of a group by a set of groups, periodic group.
Received: 15.11.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 2, Pages 317–321
DOI: https://doi.org/10.1007/s11202-008-0031-y
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: D. V. Lytkina, L. R. Tukhvatullina, K. A. Filippov, “The periodic groups saturated by finitely many finite simple groups”, Sibirsk. Mat. Zh., 49:2 (2008), 394–399; Siberian Math. J., 49:2 (2008), 317–321
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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