On The Structure Of The Hopf Representation Ring Of The Symmetric Groups

this paper is to prove a structure theorem of the graded Hopf representation ring of the symmetric groups R(S). We establish a Hopf ring isomorphism between R(S) and the graded polynomial Hopf ring in an infinite number of variables C = Z[y 1 ; y 2 ; : : : ; y k ; : : :] ; by using the --operations in R(S) given in a previous paper [8] in terms of outer plethysm