Geodesic
On subgroups of finite exponent in groups
Algebra and discrete mathematics, Tome 19 (2015) no. 1, pp. 1-7.

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We investigate properties of groups with subgroups of finite exponent and prove that a non-perfect group $G$ of infinite exponent with all proper subgroups of finite exponent has the following properties: $(1)$ $G$ is an indecomposable $p$-group, $(2)$ if the derived subgroup $G'$ is non-perfect, then $G/G''$ is a group of Heineken-Mohamed type. We also prove that a non-perfect indecomposable group $G$ with the non-perfect locally nilpotent derived subgroup $G'$ is a locally finite $p$-group.
Keywords: locally finite group, finitely generated group, exponent, group of Heineken-Mohamed type. 
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Orest D. Artemovych. On subgroups of finite exponent in groups. Algebra and discrete mathematics, Tome 19 (2015) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/ADM_2015_19_1_a1/

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