Résume | Abstract: In 1996, Dwyer showed that the classifying spaces of finite groups have sharp homology decomposition with respect to the p-centric subgroups, where the sharpness means that the mod p cohomology functor over the orbit category of p-centric subgroups has vanishing higher limits. Aiming to prove an analogous result for saturated fusion systems, we give a setup for using the machinery of Mackey functors for fusion systems and show the analogous result holds for some saturated fusion systems. This is a joint work with Antonio Díaz. |