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arXiv · 0912.1524

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

R. M. Bryant·Marianne Johnson
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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 $ψ^n$ 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.

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BibTeXRIS

R. M. Bryant, Marianne Johnson. 2009-12-08. Adams operations on the Green ring of a cyclic group of prime-power order. https://arxiv.org/abs/0912.1524

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