In the light of Alperin conjecture which parametrizes the simple kG-modules for a finite group G over a field k of characteristic p by the p-weights (Q,S) of G; it is also shown by Alperin that each weight Green correspondent Y(Q,S) of G is isomorphic to a direct summand of the permutation module of G over the Sylow p-subgroup of G. The question is: for those direct summands; does anyone know how to express the block linkage principle in terms of p-weights.?