On the homotopy groups of p-completed classifying spaces
  Among 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. 
Natalia Castellana, Juan A. Crespo, Jerome Scherer