Non-abelian extensions and Wells exact sequences of Hom-pre-Lie algebras

In this paper, we investigate non-abelian extensions of Hom-pre-Lie algebras and extensibility of pairs of automorphisms about non-abelian extensions. Consequently, we establish the Wells short exact sequence connecting automorphism groups and non-abelian cohomology groups of Hom-pre-Lie algebras. Finally, we specialize these results to the case of abelian extensions.