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This article is cited in 8 scientific papers (total in 8 papers)
Centralizer dimensions and universal theories for partially commutative metabelian groups
E. I. Timoshenko Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092 Russia
Abstract:
Centralizer dimensions are computed for partially commutative metabelian groups $S_\Gamma$ whose defining graphs $\Gamma$ are trees. Universal theories of partially commutative metabelian groups defined by cycles and linear graphs are studied.
Keywords:
partially commutative metabelian group, centralizer dimension, defining graph, universal theory.
Received: 18.11.2015 Revised: 28.03.2016
Citation:
E. I. Timoshenko, “Centralizer dimensions and universal theories for partially commutative metabelian groups”, Algebra Logika, 56:2 (2017), 226–255; Algebra and Logic, 56:2 (2017), 149–170
Linking options:
https://www.mathnet.ru/eng/al789 https://www.mathnet.ru/eng/al/v56/i2/p226
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