Abstract
Abstract When (S,ℱ,ℒ) is a p-local finite group and (T,ℰ,ℒ0) is weakly normal in (S,ℱ,ℒ), we show that a definition of CS (ℰ) given by Aschbacher has a simple interpretation from which one can deduce existence and strong closure very easily. We also appeal to a result of Gross to give a new proof that there is a unique fusion system C ℱ(ℰ) on CS (ℰ).
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