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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 717–723
DOI: https://doi.org/10.33048/smzh.2019.60.401 (Mi smj3109) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partially commutative metabelian pro-$p$-groups

S. G. Afanaseva, E. I. Timoshenko

Novosibirsk State Technical University, Novosibirsk, Russia
Full-text PDF (369 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2019.60.401
Abstract: We prove two theorems about a partially commutative metabelian pro-$p$-group. The first theorem concerns the structure of annihilators for the commutators of nonadjacent vertices of the defining graph, and the second discusses the centralizers of the vertices of the defining graph.
Keywords: partially commutative group, metabelian group, pro-$p$-group, centralizer, annihilator.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00100_а
The authors were supported by the Russian Foundation for Basic Research (Grant 18-01-00100).
Received: 29.10.2018
Revised: 29.10.2018
Accepted: 19.12.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 559–564
DOI: https://doi.org/10.1134/S0037446619040013
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: S. G. Afanaseva, E. I. Timoshenko, “Partially commutative metabelian pro-$p$-groups”, Sibirsk. Mat. Zh., 60:4 (2019), 717–723; Siberian Math. J., 60:4 (2019), 559–564
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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