4 problems

A saturated fusion system is a category $\mathcal{F}$ together with a finite $p$-group $S$, whose objects are all subgroups of $S$ and whose morphisms are injective group homomorph…

Oliver's Schur multiplier conjecture. $\ker(\mu_{\mathcal L})$ is isomorphic to a subgroup of the Schur multiplier of $\mathcal F$.

Let $\calf$ be a saturated fusion system over a $p$-group $S$ such that $O_p(\calf)=1$. Set $\cale=F^*(\calf)$, a fusion subsystem over $T\nsg S$, and let $\call$ be a centric link…

Let $\calf$ be an almost simple fusion system over a $p$-group $S$. More generally, assume only that $O_p(\calf)=1$. Set $\cale=F^*(\calf)$; thus $\cale$ is simple, or a product of…