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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 397–404
(Mi smj1967)
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This article is cited in 9 scientific papers (total in 9 papers)
On periodic groups with small orders of elements
V. D. Mazurova, A. S. Mamontovb a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk St. University, Mechanics and Mathematics Department, Novosibirsk
Abstract:
We prove that a finite group with the set of element orders equal to $\{1,2,3,5,6\}$ is locally finite.
Keywords:
periodic group, locally finite group, spectrum.
Received: 16.01.2009
Citation:
V. D. Mazurov, A. S. Mamontov, “On periodic groups with small orders of elements”, Sibirsk. Mat. Zh., 50:2 (2009), 397–404; Siberian Math. J., 50:2 (2009), 316–321
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https://www.mathnet.ru/eng/smj1967 https://www.mathnet.ru/eng/smj/v50/i2/p397
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Abstract page: | 598 | Full-text PDF : | 137 | References: | 99 | First page: | 10 |
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