2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64894This paper deals with a group of generalized power series associated to any augmented operad, focusing on the case of the PreLie operad. The solution of flow equations using the pre-Lie structure on vector fields on an affine space gives rise to an interesting element of this group, which deserves to be called the PreLie exponential.8 pages, 2 figuresQuantum Algebra18D50 (Primary) 17D25, 17B66 (Secondary)Rooted trees and an exponential-like seriestext