2009.94: Adams operations on the Green ring of a cyclic group of prime-power order
2009.94: R. M. Bryant and Marianne Johnson (2009) Adams operations on the Green ring of a cyclic group of prime-power order.
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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.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Adams operation, cyclic p-group, exterior power, symmetric power |
| Subjects: | MSC 2000 > 20 Group theory and generalizations |
| MIMS number: | 2009.94 |
| Deposited By: | Dr Marianne Johnson |
| Deposited On: | 08 December 2009 |
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