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Strictly nontame primitive elements of the free metabelian Lie algebra of rank 3

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Abstract

We prove that the free metabelian Lie algebra M 3 of rank 3 over an arbitrary field K admits strictly nontame primitive elements.

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Authors and Affiliations

  1. Omsk State University, Omsk, Russia

    A. N. Kabanov & V. A. Roman’kov

Authors
  1. A. N. Kabanov
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  2. V. A. Roman’kov
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Correspondence to A. N. Kabanov.

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Original Russian Text Copyright © 2009 Kabanov A. N. and Roman’kov V. A.

The authors were supported by the Russian Foundation for Basic Research (Grant 07.01.00392).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 1, pp. 82–95, January–February, 2009.

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Kabanov, A.N., Roman’kov, V.A. Strictly nontame primitive elements of the free metabelian Lie algebra of rank 3. Sib Math J 50, 66–76 (2009). https://doi.org/10.1007/s11202-009-0008-5

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