Geodesic
On projectively inert subgroups of completely decomposable finite rank groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 67 (2020), pp. 63-68 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let a group $G$ be a finite direct sum of torsion-free rank $1$ groups $G_{i}$. It is proved that every projectively inert subgroup of $G$ is commensurate with a fully invariant subgroup if and only if all $G_{i}$ are not divisible by any prime number $p$, and for different subgroups $G_{i}$ and $G_{j}$ their types are either equal or incomparable.
Keywords: projectively inert subgroup, fully invariant subgroup, commensurable subgroups, index of the subgroup, completely decomposable group. 
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     title = {On projectively inert subgroups of completely decomposable finite rank groups},
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A. R. Chekhlov; O. V. Ivanets. On projectively inert subgroups of completely decomposable finite rank groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 67 (2020), pp. 63-68. http://geodesic.mathdoc.fr/item/VTGU_2020_67_a5/

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