Let V be a vector space of n-dimension over the field GF(p) of p elements,where p is a prime. V is also an elementary abelian p-group.Let G be a p’-group oflinear transformations on V.Theorem 1 Let πv(a1,a2) be the number of the common fixed points of a1and a2 on V, a1, a2 ∈G. Let k(GV) be the number of conjugacy classes in thesemi-product GV (We also denote it by GV) of G and V. Then