Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 18 (2008), No. 1, 205--214Copyright 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 [ Fulltext-pdf  (166  KB)] for subscribers only.