Resumen de Alternative stable homotopy classification of
Kári Ragnarsson
We give an alternative to the stable classification of p-completed homotopy types of classifying spaces of finite groups offered by Martino¿Priddy. For a finite group G with Sylow subgroup S, we regard the stable p-completed classifying space as an object under S8BS via the canonical inclusion map. Thus we get a classification in terms of induced fusion systems. Applying Oliver's solution to the Martino¿Priddy conjecture, we obtain the surprising result that the unstable homotopy type of is determined by the map , but not by the homotopy type of .
