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March 29, 2026Journal of Lie theory1 citationsOpen Access

An Application of the Dieudonné Determinant: Detecting Non-Tame Automorphisms

ZÖZ. ÖzkurtNEN. Ekici

Key Points

  • The aim is to develop a method for detecting non-tame automorphisms using the Dieudonné determinant.
  • Utilized the Dieudonné determinant as a detection criterion
  • Constructed specific examples of non-tame automorphisms
  • Focused on free metabelian and free Lie algebras
  • Successfully detected non-tame automorphisms through the proposed criterion
  • Created concrete instances of such automorphisms in the specified algebras

Abstract

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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Cite This Study

Özkurt et al. (2008) studied this question.

synapsesocial.com/papers/69c8c0b0de0f0f753b39b7e6https://doi.org/10.5802/jolt.490
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