The general monomial symmetric function is a P1 a P2 a P3.
Since dp4+(-)P+T1(p +q qi 1)!dd4, the solutions of the partial differential equation d P4 =o are the single bipart forms, omitting s P4, and we have seen that the solutions of p4 = o are those monomial functions in which the part pq is absent.
In order that a monomial containing a m as a factor may be divisible by a monomial containing a p as a factor, it is necessary that p should be not greater than m.
A separation is the symbolic representation of a product of monomial symmetric functions.
A finite group G is called monomial (or M -group) if each ordinary irreducible character of G is monomial.