The Inductive Blockwise Alperin Weight Condition for PSp4(q)

Let G be a finite group and ι be any prime dividing|G|.The blockwise Alperin weight conjeeture states that the number of the irreducible Brauer characters in an E-block B of G equals the number of the G-conjugacy classes of ι-weights belonging to B.Recently,this conjeeture has been reduced to the simple groups,which means that to prove the blockwise Alperin weight conjeeture,it suffices to prove that all non-abelian simple groups satisfy the inductive blockwise Alperin weight condition.In this paper,we verify this inductive cond计ion for the finite simple groups PSp4(g)and non-defining characteristic,where q is a power of an odd prime.