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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2012 Volume 53, Number 6, Pages 1373–1378 (Mi smj2388)

This article is cited in 6 papers

On local finiteness of some groups of period 12

D. V. Lytkinaab, V. D. Mazurovbc, A. S. Mamontovbc

a Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
b Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk, Russia
c Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: The local finiteness is proven of all groups of period 12 in which the order of the product of every two involutions is at most 4.

Keywords: periodic group, locally finite group.

UDC: 512.54

Received: 26.06.2012


 English version:
Siberian Mathematical Journal, 2012, 53:6, 1105–1109

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© Steklov Math. Inst. of RAS, 2025