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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 4, Pages 911–916
DOI: https://doi.org/10.33048/smzh.2021.62.416 (Mi smj7604) 		 
On the decomposition of partially commutative groups of varieties and their defining graphs

E. I. Timoshenko

Novosibirsk State Technical University, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.416
Abstract: Considering the partially commutative groups of varieties which contain the variety of all nilpotent groups of class 2 as well as the variety of all groups, we study the problems of their decomposability into a direct product and a free product (in the variety).
Keywords: partially commutative group, graph join, graph union, soluble group.
Received: 09.11.2020
Revised: 10.04.2021
Accepted: 14.04.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 4, Pages 742–746
DOI: https://doi.org/10.1134/S0037446621040169
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “On the decomposition of partially commutative groups of varieties and their defining graphs”, Sibirsk. Mat. Zh., 62:4 (2021), 911–916; Siberian Math. J., 62:4 (2021), 742–746
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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