A further generalization of the Glauberman-Thompson $p$-nilpotency criterion in fusion systems

Zhencai Shen, Baoyu Zhang

Let $p$ be a prime and $\mathcal{F}$ be a saturated fusion system over a finite $p$-group $P$. The fusion system $\mathcal{F}$ is said to be nilpotent if $\mathcal{F}=\mathcal{F}_{…