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Algebra i logika, 2006, Volume 45, Number 4, Pages 447–457 (Mi al154)  
This article is cited in 5 scientific papers (total in 5 papers)

Computing Test Rank for a Free Solvable Group

E. I. Timoshenko

Novosibirsk State University of Architecture and Civil Engineering
Full-text PDF (158 kB) Citations (5)
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Abstract: It is proved that test rank of a free solvable non-Abelian group of finite rank is 1 less than the rank of that group. This gives the answer to Question 14.88 posed in the Kourovka Notebook by Fine and Shpilrain, asking whether or not a free solvable group of rank 2 and solvability index $n\geqslant3$ has test elements.
Keywords: free solvable group, test element.
Received: 20.01.2006
English version:
Algebra and Logic, 2006, Volume 45, Issue 4, Pages 254–260
DOI: https://doi.org/10.1007/s10469-006-0023-6
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “Computing Test Rank for a Free Solvable Group”, Algebra Logika, 45:4 (2006), 447–457; Algebra and Logic, 45:4 (2006), 254–260
Citation in format AMSBIB
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\by E.~I.~Timoshenko
\paper Computing Test Rank for a Free Solvable Group
\jour Algebra Logika
\yr 2006
\vol 45
\issue 4
\pages 447--457
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\elib{https://elibrary.ru/item.asp?id=9234328}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 4
\pages 254--260
\crossref{https://doi.org/10.1007/s10469-006-0023-6}
\elib{https://elibrary.ru/item.asp?id=13514009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748944343}
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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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    References:58
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