2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75707Among the generalizations of Serre's theorem on the homotopy groups of a finite complex we isolate the one proposed by Dwyer and Wilkerson. Even though the spaces they consider must be 2-connected, we show that it can be used to both recover known results and obtain new theorems about p-completed classifying spaces.12 pagesAlgebraic TopologyGroup Theory55R35, 55P20, 55P60; 20F18On the homotopy groups of p-completed classifying spacestext