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On the Group of Reduced Identities of Relatively Free Solvable Groups

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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.

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Authors and Affiliations

  1. Novosibirsk State University of Architecture and Building, Novosibirsk

    E. I. Timoshenko

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  1. E. I. Timoshenko
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Timoshenko, E.I. On the Group of Reduced Identities of Relatively Free Solvable Groups. Siberian Mathematical Journal 43, 920–925 (2002). https://doi.org/10.1023/A:1020115109444

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  • DOI: https://doi.org/10.1023/A:1020115109444

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