A. S. Mamontov, E. Jabara, “Recognizing <nobr>$L_3(4)$</nobr> by the set of element orders in the class of all groups”, Algebra Logika, 2015, Volume 54, Number 4,Pages <nobr>439–443</nobr>

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Algebra Logika, 2015 Volume 54, Number 4, Pages 439–443 (Mi al703)

This article is cited in 5 papers

Recognizing $L_3(4)$ by the set of element orders in the class of all groups

A. S. Mamontov^ab, E. Jabara^c

^a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
^b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
^c Dipartimento di Filosofia e Beni Culturali, Università Ca' Foscarii San Giobbe, Cannaregio, 873-30121, Venezia, Italy

Abstract: A finite simple group $L_3(4)$ is characterized up to isomorphism by its set of element orders in the class of all groups.

Keywords: periodic group, locally finite group.

UDC: 512.54

Received: 09.12.2014

DOI: 10.17377/alglog.2015.54.402

English version: Algebra and Logic, 2015, 54:4, 279–282

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