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Algebra i logika, 2019, Volume 58, Number 3, Pages 397–416
DOI: https://doi.org/10.33048/alglog.2019.58.308 (Mi al903) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Universal theories and centralizer dimensions of groups

E. I. Timoshenko

Novosibirsk State Technical University
Full-text PDF (262 kB) Citations (2)
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DOI: https://doi.org/10.33048/alglog.2019.58.308
Abstract: The exact value of the centralizer dimension is found for a free polynilpotent group and for a free group in a variety of metabelian groups of nilpotency class at most $c$. Relations between $\exists$- and $\Phi$-theories of groups are specified, in which case the concept of centralizer dimension plays an important role.
Keywords: polynilpotent group, free group, variety of metabelian groups, centralizer dimension, $\exists$-theories of groups, $\Phi$-theories of groups.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00100_а
E. I. Timoshenko Supported by RFBR, project No. 18-01-00100.
Received: 10.03.2018
Revised: 24.09.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 3, Pages 268–281
DOI: https://doi.org/10.1007/s10469-019-09545-z
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “Universal theories and centralizer dimensions of groups”, Algebra Logika, 58:3 (2019), 397–416; Algebra and Logic, 58:3 (2019), 268–281
Citation in format AMSBIB
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\by E.~I.~Timoshenko
\paper Universal theories and centralizer dimensions of groups
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\issue 3
\pages 397--416
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\pages 268--281
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    • This publication is cited in the following 2 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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    References:29
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