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Let $M_n$ be a free metabelian Lie algebra of a finite rank $n > 3.$ It is proved that the automorphism group $AutM_n$ is generated by the set of all elementary and inner automorphisms of $M_n.$ In contrast, it is proved that the automorphism group $AutM_3$ is not generated by such set. Moreover, $AutM_3$ contains non-tame primitive elements.
The New York Group Theory Seminar and some of the associated conferences are supported by funds from the National Science Foundation, Dean of Science, Maria Tamargo and Dean of Engineering, Joe Barba.