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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 2, Pages 469–475 (Mi smj2212)  
Identities of the soluble product of abelian groups

E. I. Timoshenko

Novosibirsk State Technical University, Novosibirsk, Russia
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Abstract: We consider the product $G$ of abelian groups in the variety $\mathfrak A^n$ of soluble groups of length at most $n$. Provided that the abelian factors are decomposable into direct products of cyclic groups, we find necessary and sufficient conditions for $G$ to generate the variety $\mathfrak A^n$.
Keywords: soluble product, variety of groups, abelian group, soluble group.
Received: 03.06.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 2, Pages 372–376
DOI: https://doi.org/10.1134/S0037446611020212
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “Identities of the soluble product of abelian groups”, Sibirsk. Mat. Zh., 52:2 (2011), 469–475; Siberian Math. J., 52:2 (2011), 372–376
Citation in format AMSBIB
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