This article is cited in 7 papers

Periodic groups acting freely on Abelian groups

D. V. Lytkina

Novosibirsk State University, Novosibirsk, Russia

Abstract: We describe $\{2,3\}$-groups without elements of order 27, acting freely on an Abelian group. In particular, it is proved that such groups are locally finite.

Keywords: periodic group, Abelian group, local finiteness.

UDC: 512.5

Received: 07.10.2009

 English version: Algebra and Logic, 2010, 49:3, 256–261

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