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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 2, Pages 123–126 (Mi vngu124)  
Groups, saturated with direct products of the finite simple nonabelian groups

I. V. Sabodakha, A. A. Shlepkinb

a Krasnoyarsk State Agricultural University, Krasnoyarsk, Russia
b Siberian Federal University, Krasnoyarsk, Russia
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Abstract: In work it is proved, that the periodic group saturated by one group, which is the direct product of finite simple nonabelian groups, is finite, with condition that the centralizer of a Sylow $2$-subgroup of each factor of the direct product doesn’t contain elements of odd order.
Keywords: the periodic group, the direct product of groups, saturation.
Received: 19.11.2011
English version:
Journal of Mathematical Sciences, 2014, Volume 198, Issue 5, Pages 621–624
DOI: https://doi.org/10.1007/s10958-014-1813-3
Document Type: Article
UDC: 512.54
Language: Russian
Citation: I. V. Sabodakh, A. A. Shlepkin, “Groups, saturated with direct products of the finite simple nonabelian groups”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 123–126; J. Math. Sci., 198:5 (2014), 621–624
Citation in format AMSBIB
\Bibitem{SabShl12}
\by I.~V.~Sabodakh, A.~A.~Shlepkin
\paper Groups, saturated with direct products of the finite simple nonabelian groups
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 2
\pages 123--126
\mathnet{http://mi.mathnet.ru/vngu124}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 198
\issue 5
\pages 621--624
\crossref{https://doi.org/10.1007/s10958-014-1813-3}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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