2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127379We compute the cohomology of crystallographic groups with holonomy of prime order. As an application we compute the group of gerbes associated to many six--dimensional toroidal orbifolds arising in string theory.Algebraic TopologyGroup Theory20J06Compatible Actions and Cohomology of Crystallographic Groupstext