Title: A theorem of Mislin for cohomology of fusion systems and applications to block algebras of finite groups Autor: C.C. Todea; Abstract: The aim of this short expository article is to give an algebraic proof for a theorem of Mislin in the case of cohomology of saturated fusion systems defined on $p$-groups when $p$ is odd. Some applications of this theorem, which includes different proofs of known results regarding block algebras of finite groups, are also given. Status: accepted 2014/(updated version)