Geodesic
The free abelian $n$-ary groups defined by the cyclic groups
Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 68-76.

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We give a complete description of the $n$-ary groups, which are free in the class of abelian $n$-ary groups defined by the cyclic groups and their automorphism groups. 
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V. M. Kusov; N. A. Shchuchkin. The free abelian $n$-ary groups defined by the cyclic groups. Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 68-76. http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a8/

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