D. V. Lytkina, V. D. Mazurov, “On groups of period 12”, Sibirsk. Mat. Zh., 2015, Volume 56, Number 3,Pages <nobr>594–599</nobr>

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Sibirsk. Mat. Zh., 2015 Volume 56, Number 3, Pages 594–599 (Mi smj2662)

This article is cited in 2 papers

On groups of period 12

D. V. Lytkina^ab, V. D. Mazurov^bc

^a Siberian State University of Telecommunications and Informatics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia
^c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: The local finiteness of a group of period 12 is proved, given that each of its subgroups generated by 3 elements of order 3 is finite.

Keywords: periodic group, period, Burnside problem, locally finite group.

UDC: 512.54

Received: 09.02.2015

DOI: 10.17377/smzh.2015.56.310

English version: Siberian Mathematical Journal, 2015, 56:3, 471–475

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© Steklov Math. Inst. of RAS, 2025