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Algebra i logika, 2017, Volume 56, Number 2, Pages 226–255
DOI: https://doi.org/10.17377/alglog.2017.56.206 (Mi al789) 		 
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
Full-text PDF (258 kB) Citations (8)
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DOI: https://doi.org/10.17377/alglog.2017.56.206
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01485
Ministry of Education and Science of the Russian Federation 214/138, проект 1052
Supported by RFBR (project No. 15-01-01485) and by the Russian Ministry of Education and Science (gov. contract 2014/138, project No. 1052).
Received: 18.11.2015
Revised: 28.03.2016
English version:
Algebra and Logic, 2017, Volume 56, Issue 2, Pages 149–170
DOI: https://doi.org/10.1007/s10469-017-9436-7
Bibliographic databases:
Document Type: Article
UDC: 512.544+512.54.01
Language: Russian
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
Citation in format AMSBIB
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\by E.~I.~Timoshenko
\paper Centralizer dimensions and universal theories for partially commutative metabelian groups
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\issue 2
\pages 226--255
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\pages 149--170
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :45
    References:41
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