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

@inproceedings{Shen2021AFG, title={A further generalization of the Glauberman-Thompson \$p\$-nilpotency criterion in fusion systems}, author={Zhencai Shen and Baoyu Zhang}, year={2021} }

Let p be a prime and F be a saturated fusion system over a finite p-group P . The fusion system F is said to be nilpotent if F = FP (P ). We provide new criteria for a saturated fusion system F to be nilpotent, which may be viewed as extending the Glauberman-Thompson p-nilpotency criterion to fusion systems.

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