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

Abstract

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.

23 pages

Cited by in corpus (2)

• Exterior and Symmetric Powers of Modules for Cyclic 2-Groups
• Periodicity of Adams operations on the Green ring of a finite group