摘要
Let F be a saturated fusion system over a finite p-group S, and let Z ≤ Zn (F), which is strongly closed in S with respect to F. In this paper, we prove that there is a natural bijection from the set of normal subsystems of 7 containing Z to the set of normal subsystems of the factor system F+ =F/Z. This generalizes a result of Aschbacher.
Let F be a saturated fusion system over a finite p-group S, and let Z ≤ Zn (F), which is strongly closed in S with respect to F. In this paper, we prove that there is a natural bijection from the set of normal subsystems of 7 containing Z to the set of normal subsystems of the factor system F+ =F/Z. This generalizes a result of Aschbacher.