Geodesic
Representations of abelian semicyclic $n$-ary groups
Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 131-137.

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In this paper we study the relationship between representations of abelian groups and representations of abelian $n$-ary groups. Based on this relationship, described all the representations of abelian semicyclic $n$-ary groups.
Keywords: $n$-ary group, homonorphism, representation. 
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V. M. Kusov. Representations of abelian semicyclic $n$-ary groups. Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 131-137. http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a9/

[1] Timm J., Kommutative $n$-Gruppen, Diss., Hamburg, 1967

[2] Gal'mak A. M., $n$-Ary groups, v. I, GGU imeni F. Skoriny, Gomel, 2003, 196 pp. (in Russian)

[3] Dudec W., Shahruari M., “Representation theory of polyadic groups”, Algebras and Representation Theory, 15:1 (2012), 29–51 | DOI | MR

[4] Shahruari M., Representations of finite polyadic groups, 2010, arXiv: 1011.0954v1 [math.RT]

[5] Kostrikin A. I., Introduction to algebra, v. III, Basic structure, Fizmatlit, M., 2004, 272 pp. (in Russian)

[6] Glazek K., Michalski J., Sierocki I., “On evaluation of some polyadic groups”, Contribution to General Algebra, 3 (1985), 159–171

[7] Shchuchkin A. M., “Semicyclic $n$-ary groups”, Izvestiya GGU imeni F. Skoriny, 2009, no. 3(54), 186–194 (in Russian)