Journal of Lie Theory 18 (2008), No. 1, 205--214
Copyright Heldermann Verlag 2008
An Application of the Dieudonné Determinant: Detecting Non-Tame Automorphisms
Zeynep Özkurt
Dept. of Mathematics, Cukurova University, 01330 Adana, Turkey
zyapti@cu.edu.tr
Naime Ekici
Dept. of Mathematics, Cukurova University, 01330 Adana, Turkey
nekici@cu.edu.tr
[Abstract-pdf]
We show how to detect non-tame automorphisms by using a criterion which is based on the Dieudonn\'{e} determinant and we construct some specific non-tame automorphisms of free metabelian Lie algebras and free Lie algebras of the form $F/\gamma _{m}(F)^{{^\prime}}$.
Keywords: Dieudonne determinant, Lie algebra, non-tame automorphism.
MSC: 17B01, 17B40
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