%0 Journal Article %T On Thompson's $p$-complement theorems for saturated fusion systems %A Jon Gonz¨˘lez-S¨˘nchez %A Albert Ruiz %A Antonio Viruel %J Mathematics %D 2013 %I arXiv %R 10.1215/21562261-3089100 %X In this short note we prove that a saturated fusion system admitting some special type of automorphism is nilpotent. This generalizes classical results by J.G. Thompson. %U http://arxiv.org/abs/1304.5352v2