Ravenel's chromatic filtration conjecture for Burnside rings

Let $G$ be a finite group and let $n\geqslant0$. The Ravenel ideal $\mathrm{J}_n(G)$ consists of virtual finite $G$-sets whose fixed-point sets have virtual cardinality zero for every subgroup generated by at most $n$ elements; let $\mathrm{I}_n(G)$ denote the corresponding chromatic ideal of the Burnside ring $\mathrm{A}(G)$. Ravenel's conjecture. For all finite groups $G$ and all integers $n\geqslant0$,

$$\mathrm{J}_n(G)\subseteq\mathrm{I}_n(G).$$

This conjecture relates the filtration of the Burnside ring defined by subgroup-generation bounds to the chromatic filtration arising from localization at Johnson–Wilson spectra. The source gives no resolution status.