2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111463We prove analogues for sub-posets of the Dowling lattices of the results of Calderbank, Hanlon, and Robinson on homology of sub-posets of the partition lattices. The technical tool used is the wreath product analogue of the tensor species of Joyal.30 pages; second version corrects some minor errors and adds a new section on Whitney homologyRepresentation TheoryCombinatorics05E25Plethysm for wreath products and homology of sub-posets of Dowling latticestext