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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 3, Pages 631–644
(Mi smj53)
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This article is cited in 3 scientific papers (total in 3 papers)
The local finiteness of some groups generated by a conjugacy class of order 3 elements
A. A. Maksimenko, A. S. Mamontov Novosibirsk State University, Mechanics and Mathematics Department
Abstract:
We prove local finiteness for the groups generated by a conjugacy class of order 3 elements whose every pair generates a subgroup that is isomorphic to $Z_3$, $A_4$, $A_5$, $SL_2(3)$, or $SL_2(5)$.
Keywords:
group, locally finite group, conjugacy class.
Received: 14.07.2005
Citation:
A. A. Maksimenko, A. S. Mamontov, “The local finiteness of some groups generated by a conjugacy class of order 3 elements”, Sibirsk. Mat. Zh., 48:3 (2007), 631–644; Siberian Math. J., 48:3 (2007), 508–518
Linking options:
https://www.mathnet.ru/eng/smj53 https://www.mathnet.ru/eng/smj/v48/i3/p631
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