2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229748This is the third in a series of papers which give an explicit description of the reconstruction algebra as a quiver with relations; these algebras arise naturally as geometric generalizations of preprojective algebras of extended Dynkin quivers. This paper deals with dihedral groups G=D_{n,q} which have rank 2 special CM modules. We show that such reconstruction algebras are described by combining a preprojective algebra of extended type D with some reconstruction algebra of type A.21 pagesRings and AlgebrasAlgebraic Geometrytext