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Algebra i logika, 2001, Volume 40, Number 2, Pages 192–201 (Mi al216)  
This article is cited in 10 scientific papers (total in 10 papers)

Test Elements for Free Solvable Groups of Rank 2

V. A. Roman'kov
Full-text PDF (871 kB) Citations (10)
Abstract: It is proved that a free solvable group of rank 2 of degree 3 contains test elements. Thereby we solve the Fine – Shpilrain problem posed in “The Kourovka Notebook” (Question 14.88).
Keywords: ree solvable group, test element.
Received: 21.03.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 1, Pages 106–111
DOI: https://doi.org/10.1023/A:1010212921733
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. A. Roman'kov, “Test Elements for Free Solvable Groups of Rank 2”, Algebra Logika, 40:2 (2001), 192–201; Algebra and Logic, 40:1 (2001), 106–111
Citation in format AMSBIB
\Bibitem{Rom01}
\by V.~A.~Roman'kov
\paper Test Elements for Free Solvable Groups of Rank~2
\jour Algebra Logika
\yr 2001
\vol 40
\issue 2
\pages 192--201
\mathnet{http://mi.mathnet.ru/al216}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850446}
\zmath{https://zbmath.org/?q=an:0993.20027}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 1
\pages 106--111
\crossref{https://doi.org/10.1023/A:1010212921733}
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  • https://www.mathnet.ru/eng/al/v40/i2/p192
    • This publication is cited in the following 10 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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