Abstract
We consider two splittings of a partially commutative metabelian group G. The universal theories and splittings of G are compared. We prove that all nilpotent subgroups of G are abelian and give description of the Fitting subgroup of G.
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Original Russian Text Copyright © 2018 Timoshenko E.I.
The author was supported by the Russian Foundation for Basic Research (Grant 18–01–00100).
Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, vol. 59, no. 3, pp. 676–683, May–June, 2018
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Timoshenko, E.I. On Splittings, Subgroups, and Theories of Partially Commutative Metabelian Groups. Sib Math J 59, 536–541 (2018). https://doi.org/10.1134/S0037446618030151
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DOI: https://doi.org/10.1134/S0037446618030151