A Bijective Map on Normal Fusion Subsystems  

作　　者：Xingzhong Xu 

机构地区：[1]Department of Mathematics, Hubei University, Wuhan 430062, China [2]School of Mathematics, Peking University, Beijing 100871, China

出　　处：《Algebra Colloquium》2016年第1期45-50,共6页代数集刊（英文版）

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.

关 键 词：saturated fusion system normal fusion subsystem factor system 

分 类 号：O189.11[理学—数学] TU855[理学—基础数学]