%0 Journal Article
%T Alternative stable homotopy classification of p-completed classifying spaces
%A Kari Ragnarsson
%J Mathematics
%D 2005
%I arXiv
%X 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 of G as an object under the stable p-completed classifying space of S 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 p-completed homotopy type of BG is determined by the stable p-completed inclusion of BS in BG, but not by the stable p-completed homotopy type of BG.
%U http://arxiv.org/abs/math/0502577v2