On the Decomposition of Partially Commutative Groups of Varieties and Their Defining Graphs

On the Decomposition of Partially Commutative Groups of Varieties and Their Defining Graphs

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).

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Veröffentlicht in:Siberian mathematical journal 2021-07, Vol.62 (4), p.742-746
1. Verfasser: Timoshenko, E. I.
Format: Artikel
Sprache:eng
Schlagworte:
Decomposition
Group theory
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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).
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446621040169