Demonstrates a criterion for identifying non-tame automorphisms in free metabelian and free Lie algebras, suggesting new applications.
We show how to detect non-tame automorphisms by using a criterion which is based on the Dieudonn determinant and we construct some specific non-tame automorphisms of free metabelian Lie algebras and free Lie algebras of the form F/ m (F ) .
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Özkurt et al. (2008) studied this question.
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