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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 353–358
(Mi smj28)
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This article is cited in 21 scientific papers (total in 21 papers)
Structure of a group with elements of order at most 4
D. V. Lytkina Siberian Fund for Algebra and Logic
Abstract:
We prove that every group in which the order of each element is at most 4 either possesses a nontrivial class 2 nilpotent normal Sylow subgroup or includes a normal elementary abelian 2-subgroup the quotient by which is isomorphic to the nonabelian group of order 6.
Keywords:
period, Sanov, locally finite group.
Received: 10.04.2006
Citation:
D. V. Lytkina, “Structure of a group with elements of order at most 4”, Sibirsk. Mat. Zh., 48:2 (2007), 353–358; Siberian Math. J., 48:2 (2007), 283–287
Linking options:
https://www.mathnet.ru/eng/smj28 https://www.mathnet.ru/eng/smj/v48/i2/p353
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