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Test Elements for Free Solvable Groups of Rank 2

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Abstract

It is proved that a free solvable group of rank 2 of degree 3 contains test elements. Thereby we solve the Fine$ndash;Shpilrain problem posed in [9, Question 14.88].

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  1. Mira 55-C, 27, Omsk, 644077

    V. A. Roman'kov

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  1. V. A. Roman'kov
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Roman'kov, V.A. Test Elements for Free Solvable Groups of Rank 2. Algebra and Logic 40, 106–111 (2001). https://doi.org/10.1023/A:1010212921733

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