  Let K 0 (Fp GLn(Fp)-proj) denote the Grothendieck group of finitely generated
pro-jective Fp GLn(Fp)-modules. We show that the algebra C $\otimes$ n$\ge$0 K
0 (Fp GLn(Fp)-proj) with multiplication given by induction functors, is a
polynomial algebra. We explicit generators and their relation with
Deligne-Lusztig characters.
