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Algebra i logika, 2016, Volume 55, Number 4, Pages 441–448
DOI: https://doi.org/10.17377/alglog.2016.55.404 (Mi al751) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Periodic groups saturated with finite simple groups of types $U_3$ and $L_3$

D. V. Lytkinaab, A. A. Shlepkinc

a Siberian State University of Telecommunications and Information Sciences, ul. Kirova 86, Novosibirsk, 630102 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
c Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, 660041 Russia
Full-text PDF (141 kB) Citations (13)
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DOI: https://doi.org/10.17377/alglog.2016.55.404
Abstract: Suppose that $\mathfrak M$ is a set whose elements are simple three-dimensional unitary groups $U_3(q)$ and linear groups $L_3(q)$ over finite fields. We prove that a periodic group saturated with groups of $\mathfrak M$ is locally finite and isomorphic to $U_3(Q)$ or $L_3(Q)$ for some locally finite field $Q$.
Keywords: group saturated with set of groups, periodic group.
Received: 11.07.2016
English version:
Algebra and Logic, 2016, Volume 55, Issue 4, Pages 289–294
DOI: https://doi.org/10.1007/s10469-016-9398-1
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: D. V. Lytkina, A. A. Shlepkin, “Periodic groups saturated with finite simple groups of types $U_3$ and $L_3$”, Algebra Logika, 55:4 (2016), 441–448; Algebra and Logic, 55:4 (2016), 289–294
Citation in format AMSBIB
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\by D.~V.~Lytkina, A.~A.~Shlepkin
\paper Periodic groups saturated with finite simple groups of types $U_3$ and~$L_3$
\jour Algebra Logika
\yr 2016
\vol 55
\issue 4
\pages 441--448
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\crossref{https://doi.org/10.17377/alglog.2016.55.404}
\transl
\jour Algebra and Logic
\yr 2016
\vol 55
\issue 4
\pages 289--294
\crossref{https://doi.org/10.1007/s10469-016-9398-1}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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