2 problems

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The linking–transporter extension conjecture for almost simple fusion systems
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…
Conjectureopenfusion-systems linking-systems transporter-systemsarXiv posted 2 days ago
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Existence and uniqueness of components for p-local compact groups
Component uniqueness conjecture. Every $p$ -local compact group determines a unique irreducible component and a unique transporter system of components.
Conjectureopenfusion-systems p-local-compact-groups transporter-systemsarXiv posted 2 days ago

The linking–transporter extension conjecture for almost simple fusion systems