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]

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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 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User:	Dr Marianne Johnson
Date Deposited:	08 Dec 2009
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1362

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