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Sibirsk. Mat. Zh., 2018, Volume 59, Number 3, Pages 676–683 (Mi smj3002)  
On splittings, subgroups, and theories of partially commutative metabelian groups

E. I. Timoshenko

Novosibirsk State Technical University, Novosibirsk, Russia

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).


DOI: https://doi.org/10.17377/smzh.2018.59.315

Full text: PDF file (294 kB)
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English version:
Siberian Mathematical Journal, 2018, 59:3, 536–541

Bibliographic databases:

UDC: 512.5
Received: 03.09.2017

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