This article is cited in 1 paper

On periodic groups with narrow spectrum

A. S. Mamontov^ab, E. Jabara<sup>c

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Faculty of Mechanics and Mathematics, Novosibirsk State University, Novosibirsk, Russia
^c Dipartimento di Filosofia e beni culturali, Universita di Ca 'Foscari, Dorsoduro, Venezia, Italy

Abstract: We study groups with no elements of big orders. We prove that if the set of element orders of $G$ is $\{1,2,3,4,p,9\}$, where $p\in\{7,5\}$, then $G$ is locally finite.

Keywords: periodic group, locally finite group, spectrum.

UDC: 512.54

Received: 16.02.2015

DOI: 10.17377/smzh.2016.57.316

 English version: Siberian Mathematical Journal, 2016, 57:3, 538–541

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