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REPRESENTATIONS OF ABELIAN SEMICYCLIC N-ARY GROUPS

https://doi.org/10.22405/2226-8383-2013-14-4-131-137

Abstract

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.

 

About the Author

V. M. Kusov
Волгоградский государственный социально-педагогический университет
Russian Federation


References

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4. Shahruari M. Representations of finite polyadic groups. arXiv.org e-Print archive, 2010. arXiv:1011.0954v1 [math.RT].

5. Kostrikin A. I. Introduction to algebra. Part III. Basic structure. Moskva: FIZMATLIT, 2004. 272 p. (in Russian).

6. Glazek K., Michalski J. and Sierocki I. On evaluation of some polyadic groups. Contribution to General Algebra 3, 1985, p. 159-171.

7. Shchuchkin A. M. Semicyclic n-ary groups. Izvestiya GGU imeni F. Skoriny, 2009. 3(54). p.186-194. (in Russian).

8.


Review

For citations:


Kusov V.M. REPRESENTATIONS OF ABELIAN SEMICYCLIC N-ARY GROUPS. Chebyshevskii Sbornik. 2013;14(4):131-137. (In Russ.) https://doi.org/10.22405/2226-8383-2013-14-4-131-137

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ISSN 2226-8383 (Print)