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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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