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Izvestiya: Mathematics, 2021, Volume 85, Issue 4, Pages 813–822
DOI: https://doi.org/10.1070/IM9034 (Mi im9034) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A basis for a partially commutative metabelian group

E. I. Timoshenkoab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State Technical University
English version PDF (434 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM9034
Abstract: We find explicitly a basis for the derived group of a partially commutative metabelian group and describe a canonical representation for the elements of the group.
Keywords: metabelian group, partially commutative group, basis, canonical form.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
This research was supported by the Mathematical Centre in Akademgorodok, the agreement with the Ministry of Science and Higher Education of the Russian Federation no. 075-15-2019-1613.
Received: 16.03.2020
Revised: 07.07.2020
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2021, Volume 85, Issue 4, Pages 205–214
DOI: https://doi.org/10.4213/im9034
Bibliographic databases:
Document Type: Article
UDC: 512.5
MSC: 20F05
Language: English
Original paper language: Russian
Citation: E. I. Timoshenko, “A basis for a partially commutative metabelian group”, Izv. RAN. Ser. Mat., 85:4 (2021), 205–214; Izv. Math., 85:4 (2021), 813–822
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM9034
  • https://www.mathnet.ru/eng/im/v85/i4/p205
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:302
    Russian version PDF:68
    English version PDF:28
    Russian version HTML:122
    References:35
    First page:9
     
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