The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras

Abstract

In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz algebras. In particular, we consider the natural relationships between Leibniz algebras, groups and modules over associative rings.