2 problems

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…

Component uniqueness conjecture. Every $p$-local compact group determines a unique irreducible component and a unique transporter system of components.