On the depth of local rings of invariants of cyclic groups

Fogarty, John

doi:10.1090/S0002-9939-1981-0627666-3

On the depth of local rings of invariants of cyclic groups
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by John Fogarty

Proc. Amer. Math. Soc. 83 (1981), 448-452

DOI: https://doi.org/10.1090/S0002-9939-1981-0627666-3

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Abstract:

For wild actions of a cyclic group $G$ on a local ring $R$, with ${R^G}$ noetherian, it is shown that ${\text {depth}}\;R - {\text {depth}}\;{R^G}$ can be arbitrarily large, even if $R$ is regular and contains $\underline {Z}$.

References

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