Mislin’s theorem for fusion systems through Mackey functors

Abstract

Abstract. We state and prove a fusion system version of Mislin's theorem [8] on cohomology and control of fusion, following Symonds's proof [10] of Mislin's theorem using Mackey functors.

A categorification of the Cartan-Eilenberg formula

“…This formula actually holds [Par17] for any cohomological Mackey functor M: M(G) ≃ lim P ∈FS (G) op M(P )…”