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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1142–1148 (Mi smj1356)  

This article is cited in 2 scientific papers (total in 2 papers)

On the group of reduced identities of relatively free solvable groups

E. I. Timoshenko

Novosibirsk State University of Architecture and Civil Engineering
Full-text PDF (176 kB) Citations (2)
Abstract: We prove that the groups of reduced identities of a free solvable group and a free metabelian group of a given nilpotency class are trivial whenever these groups are finitely generated.
Keywords: algebraic geometry over a group, group of reduced identities.
Received: 26.02.2002
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 920–925
DOI: https://doi.org/10.1023/A:1020115109444
Bibliographic databases:
UDC: 512.572
Language: Russian
Citation: E. I. Timoshenko, “On the group of reduced identities of relatively free solvable groups”, Sibirsk. Mat. Zh., 43:5 (2002), 1142–1148; Siberian Math. J., 43:5 (2002), 920–925
Citation in format AMSBIB
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\paper On the group of reduced identities of relatively free solvable groups
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\issue 5
\pages 1142--1148
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\zmath{https://zbmath.org/?q=an:1020.20019}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 920--925
\crossref{https://doi.org/10.1023/A:1020115109444}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178696400014}
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  • https://www.mathnet.ru/eng/smj/v43/i5/p1142
  • 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
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