Shang-Jie Zhang

Equivariant generating hypotheses for finite groups

We disprove Bohmann's equivariant generating hypothesis for every nontrivial finite group $G$, even when all $\RO(H)$-graded homotopy groups at every subgroup $H$ are tested. For each fixed $G$ and prime $p$ dividing $|G|$, we construct ghosts on finite $G$-spectra with arbitrarily long nonzero composition powers. We a...