A sufficient condition for the wildness of an automorphism of a free Leibnizalgebra

Authors

ZEYNEP ÖZKURTFollow

Author ORCID Identifier

ZEYNEP ÖZKURT: 0000-0001-9703-3463

Abstract

In this paper, we apply the criterion of Mikhalev and Umirbaev for the invertibility of an endomorphismof a finitely generated free Leibniz algebra via its Jacobian matrix to determine whether a given endomorphism is anautomorphism. Moreover, it is shown that the invertibility of the determinant of the Jacobian matrix of an automorphismimplies its wildness.

DOI

10.55730/1300-0098.3549

Keywords

Leibniz algebra, Jacobian matrices, tame automorphism

First Page

914

Last Page

929

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ÖZKURT, ZEYNEP (2024) "A sufficient condition for the wildness of an automorphism of a free Leibnizalgebra," Turkish Journal of Mathematics: Vol. 48: No. 5, Article 8. https://doi.org/10.55730/1300-0098.3549
Available at: https://journals.tubitak.gov.tr/math/vol48/iss5/8