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What do the Engel laws and positive laws have in common?

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Abstract

The work is inspired by a question of R. Burns: What do the Engel laws and positive laws have in common that forces finitely generated, locally graded groups satisfying them to be nilpotent-by-finite? The answer is that these laws have the same so-called Engel construction.

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Authors and Affiliations

  1. Silesian University of Technology, Institute of Mathematics, ul. Kaszubska 23, 44-100, Gliwice, Poland

    O. Macedońska

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  1. O. Macedońska
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Correspondence to O. Macedońska.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 7, pp. 175–183, 2008.

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Macedońska, O. What do the Engel laws and positive laws have in common?. J Math Sci 164, 272–277 (2010). https://doi.org/10.1007/s10958-009-9728-0

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