On Splittings, Subgroups, and Theories of Partially Commutative Metabelian Groups
- Authors: Timoshenko E.I.1
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Affiliations:
- Novosibirsk State Technical University
- Issue: Vol 59, No 3 (2018)
- Pages: 536-541
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171908
- DOI: https://doi.org/10.1134/S0037446618030151
- ID: 171908
Cite item
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.
About the authors
E. I. Timoshenko
Novosibirsk State Technical University
Author for correspondence.
Email: algebra@nstu.ru
Russian Federation, Novosibirsk