Fong Theorem For Mackey Functors

The mainly results of this paper is the following two research:On one hand,when G be a p-solvable group,we apply the theorem of Fong for modules on simple Mackey functor and projective Mackey functor.On the other hand,we apply the theory of Fong's for Fully group graded algebras on 1_NμK(G)1_N,the Mackey algebra version of Fong's theorem and the Green indecomposable theorem had a unified.