A sufficient condition for the wildness of an automorphism of a free Leibniz algebra.

In this paper, we apply the criterion of Mikhalev and Umirbaev for the invertibility of an endomorphism of a finitely generated free Leibniz algebra via its Jacobian matrix to determine whether a given endomorphism is an automorphism. Moreover, it is shown that the invertibility of the determinant of the Jacobian matrix of an automorphism implies its wildness. [ABSTRACT FROM AUTHOR]