D. V. Lytkina, V. D. Mazurov, A. S. Mamontov, E. Jabara, “Groups whose element orders do not exceed 6”, Algebra Logika, 2014, Volume 53, Number 5,Pages <nobr>570–586</nobr>

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Algebra Logika, 2014 Volume 53, Number 5, Pages 570–586 (Mi al651)

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Groups whose element orders do not exceed 6

D. V. Lytkina^ab, V. D. Mazurov^ca, A. S. Mamontov^ca, E. Jabara^d

^a Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
^b Siberian State University of Telecommunications and Information Sciences, ul. Kirova 86, Novosibirsk, 630102, Russia
^c Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
^d Dipartimento di Filosofia e Beni Culturali, Università di Ca' Foscari, Dorsoduro 3484/d, I-30123 Venezia, Italy

Abstract: It is proved that a periodic group whose element orders do not exceed 6 either is a locally finite or is group of exponent 5.

Keywords: periodic group, locally finite group.

UDC: 512.54

Received: 18.08.2014

English version: Algebra and Logic, 2014, 53:5, 365–376

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