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

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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

$2$ -elements

D. V. Lytkina^abc, V. D. Mazurov^abc

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia
^c Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia

Full-text PDF (253 kB) Citations (1)

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Abstract: Suppose that every finite subgroup, generated by a couple of

2

$2$ -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

$2$ -subgroup that is either nilpotent of class 2 or of exponent 4.

Keywords: locally finite group,

2

$2$ -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

$2$ -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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\pages 127--130

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https://www.mathnet.ru/eng/smj2406

https://www.mathnet.ru/eng/smj/v54/i1/p127

This publication is cited in the following 1 articles:

A. A. Duzh, D. V. Lytkina, “Periodic groups saturated with direct products of Suzuki groups and elementary abelian $2$ -groups”, Siberian Math. J., 54:5 (2013), 805–809

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	105
References:	90
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