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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2007 Volume 48, Number 3, Pages 631–644 (Mi smj53)

This article is cited 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.

UDC: 512.542

Received: 14.07.2005


 English version:
Siberian Mathematical Journal, 2007, 48:3, 508–518

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