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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 3, Pages 676–683
DOI: https://doi.org/10.17377/smzh.2018.59.315 (Mi smj3002) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On splittings, subgroups, and theories of partially commutative metabelian groups

E. I. Timoshenko

Novosibirsk State Technical University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.315
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 $G$.
Keywords: commutative group, metabelian group, universal theory, Fitting subgroup, splitting.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00100
The author was supported by the Russian Foundation for Basic Research (Grant 18-01-00100).
Received: 03.09.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 3, Pages 536–541
DOI: https://doi.org/10.1134/S0037446618030151
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “On splittings, subgroups, and theories of partially commutative metabelian groups”, Sibirsk. Mat. Zh., 59:3 (2018), 676–683; Siberian Math. J., 59:3 (2018), 536–541
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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