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

DOI

10.55730/1300-0098.3549

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.

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