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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 2, Pages 340–349
(Mi smj2201)
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This article is cited in 7 scientific papers (total in 7 papers)
On the periodic groups saturated by direct products of finite simple groups
D. V. Lytkina Novosibirsk State University, Novosibirsk, Russia
Abstract:
We prove the local finiteness of a periodic group $G$ saturated by direct products of an elementary abelian 2-group of fixed order and the simple groups $L_2(q)$ under condition that $G$ contains an element of order 4.
Keywords:
group, saturated group, simple group, periodic group.
Received: 13.09.2010
Citation:
D. V. Lytkina, “On the periodic groups saturated by direct products of finite simple groups”, Sibirsk. Mat. Zh., 52:2 (2011), 340–349; Siberian Math. J., 52:2 (2011), 267–273
Linking options:
https://www.mathnet.ru/eng/smj2201 https://www.mathnet.ru/eng/smj/v52/i2/p340
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Abstract page: | 409 | Full-text PDF : | 103 | References: | 89 | First page: | 3 |
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