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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 1, Pages 127–130 (Mi smj2406)  
This article is cited in 1 scientific paper (total in 1 paper)

On groups with given properties of the finite subgroups generated by couples of $2$-elements

D. V. Lytkinaabc, V. D. Mazurovabc

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
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Abstract: Suppose that every finite subgroup, generated by a couple of $2$-elements of a periodic group, is either nilpotent of class 2 or of exponent 4. We prove that the group possesses the normal Sylow $2$-subgroup that is either nilpotent of class 2 or of exponent 4.
Keywords: locally finite group, $2$-Engel group, involution.
Received: 26.06.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 1, Pages 96–98
DOI: https://doi.org/10.1134/S0037446613010126
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: D. V. Lytkina, V. D. Mazurov, “On groups with given properties of the finite subgroups generated by couples of $2$-elements”, Sibirsk. Mat. Zh., 54:1 (2013), 127–130; Siberian Math. J., 54:1 (2013), 96–98
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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