This article is cited in 1 paper

On $\{2,3\}$-groups without elements of order $6$

E. Jabara

Università di Ca'Foscari, Dorsoduro, Venezia, Italy

Abstract: We describe $\{2,3\}$-groups in which the order of a product of every two elements of orders at most $4$ does not exceed $9$ and the centralizer of every involution is a locally cyclic $2$-subgroup. In particular, we will prove that these groups are locally finite.

Keywords: $\{2,3\}$-group, locally finite group.

UDC: 512.54

Received: 17.08.2015

DOI: 10.17377/smzh.2016.57.416

 English version: Siberian Mathematical Journal, 2016, 57:4, 744–746

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