Adams operations and lambda-operations in beta-rings

In a lambda-ring there are operations lambda_{pi}, psi_{pi} and beta_{pi} for pi a partition of n. These operations are related by identities analogous to those between the symmetric functions a_{pi}, s_{pi} and h_{pi}. In a beta-ring there is defined an operation beta_H for [H] a conjugacy class of subgroups of the symmetric group S_n. This paper defines operations psi_H and lambda_H in a beta-rung such that whenever the beta-ring is a lambda-ring, and H a Young subgroup S_{pi} of S_n, then the beta_H, psi_H and lambda_H reduce to beta_{pi}, psi_{pi} and lambda_{pi} respectively. The identities relating the new operations are also investigated.