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Description of the centralizers of elements in the metabelian products of abelian groups

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Abstract

A full description is given of the centralizers of elements in a metabelian product of free abelian groups. The proof relies on the canonical representation of elements in the product.

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References

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Correspondence to E. I. Timoshenko.

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Original Russian Text Copyright © 2014 Timoshenko E.I.

The author was supported by the Russian Foundation for Basic Research (Grant 12-01-00084) and the Ministry of Science and Education of the Russian Federation (Agreement 14.V37.21.0359).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 1, pp. 212–220, January–February, 2014.

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Timoshenko, E.I. Description of the centralizers of elements in the metabelian products of abelian groups. Sib Math J 55, 171–177 (2014). https://doi.org/10.1134/S0037446614010194

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  • DOI: https://doi.org/10.1134/S0037446614010194

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