WEIGHTS FOR CLASSICAL-GROUPS

This paper proves the Alperin's weight conjecture for the finite unita ry groups when the characteristic r of modular representation is odd. Moreover, this paper proves the conjecture for finite odd dimensional special orthogonal groups and gives a combinatorial way to count the n umber of weights, block by block, for finite symplectic and even dimen sional special orthogonal groups when r and the defining characteristi c of the groups are odd.