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Algebra i logika, 2018, Volume 57, Number 1, Pages 102–117
DOI: https://doi.org/10.17377/alglog.2018.57.106 (Mi al837) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Centralizer dimensions of partially commutative metabelian groups

E. I. Timoshenko

Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092 Russia
Full-text PDF (189 kB) Citations (5)
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DOI: https://doi.org/10.17377/alglog.2018.57.106
Abstract: We establish an upper bound for the centralizer dimension of a partially commutative metabelian group that depends linearly on the number of vertices in a defining graph. It is proved that centralizer dimensions of $2$-generated metabelian groups are not bounded above. The exact value of the centralizer dimension is computed for a partially commutative metabelian group defined by a cycle.
Keywords: partially commutative metabelian group, centralizer dimension, defining graph.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00100
Supported by RFBR, project No. 18-01-00100.
Received: 28.03.2016
Revised: 10.03.2018
English version:
Algebra and Logic, 2018, Volume 57, Issue 1, Pages 69–80
DOI: https://doi.org/10.1007/s10469-018-9479-4
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “Centralizer dimensions of partially commutative metabelian groups”, Algebra Logika, 57:1 (2018), 102–117; Algebra and Logic, 57:1 (2018), 69–80
Citation in format AMSBIB
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\pages 102--117
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    • This publication is cited in the following 5 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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