Invariant Ricci solitons on metric Lie groups with a semisymmetric connection

In this paper, we examine invariant Ricci solitons on three-dimensional unimodular Lie groups with a semisymmetric connection. We prove that nontrivial invariant Ricci solitons exist on some three-dimensional Lie groups with a left-invariant (pseudo) Riemannian metric and a semisymmetric connection different from the Levi-Civita connection. A complete classification of nontrivial invariant Ricci solitons and the corresponding semisymmetric connections on three-dimensional Lie groups is obtained.