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On the decomposition of partially commutative groups of varieties and their defining graphs
E. I. Timoshenko Novosibirsk State Technical University, Novosibirsk, Russia
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
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
Linking options:
https://www.mathnet.ru/eng/smj7604 https://www.mathnet.ru/eng/smj/v62/i4/p911
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Abstract page: | 165 | Full-text PDF : | 26 | References: | 43 | First page: | 2 |
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