Adams operations on the Green ring of a cyclic group of prime-power order

Bryant, R. M. and Johnson, Marianne (2009) Adams operations on the Green ring of a cyclic group of prime-power order. [MIMS Preprint]

We consider the Green ring $R_{KC}$ for a cyclic $p$-group $C$ over a field $K$ of prime characteristic $p$ and determine the Adams operations $\psi^n$ in the case where $n$ is not divisible by $p$. This gives information on the decomposition into indecomposables of exterior powers and symmetric powers of $KC$-modules.