Geodesic
Periodic groups acting freely on Abelian groups
Algebra i logika, Tome 49 (2010) no. 3, pp. 379-387

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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. 
@article{AL_2010_49_3_a4,
     author = {D. V. Lytkina},
     title = {Periodic groups acting freely on {Abelian} groups},
     journal = {Algebra i logika},
     pages = {379--387},
     publisher = {mathdoc},
     volume = {49},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_3_a4/}
}
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D. V. Lytkina. Periodic groups acting freely on Abelian groups. Algebra i logika, Tome 49 (2010) no. 3, pp. 379-387. http://geodesic.mathdoc.fr/item/AL_2010_49_3_a4/