2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160132We show that the main results of Happel-Rickard-Schofield (1988) and Happel-Reiten-Smalo (1996) on piecewise hereditary algebras are coherent with the notion of group action on an algebra. Then, we take advantage of this compatibility and show that if G is a finite group acting on a piecewise hereditary algebra A over an algebraically closed field whose characteristic does not divide the order of G, then the resulting skew group algebra A[G] is also piecewise hereditary.13 pages, typos corrected. To appear in J. Pure Appl. AlgebraRings and AlgebrasRepresentation Theory16S35, 18E30text