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A Bijective Map on Normal Fusion Subsystems

A Bijective Map on Normal Fusion Subsystems
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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.
作者 Xingzhong Xu
出处 《Algebra Colloquium》 SCIE CSCD 2016年第1期45-50,共6页 代数集刊(英文版)
关键词 saturated fusion system normal fusion subsystem factor system saturated fusion system, normal fusion subsystem, factor system
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